Hard math equation - 22 Feb 2023 ... | Learn how to solve the difficult equation quickly | Math Olympiad Training Olympiad Mathematical Question! | Learn Tips how to solve ...

 
Equation Word Problems Worksheets. This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step, two-step and multi-step equations that involve integers, fractions, and decimals. These worksheets are best suited for students in grade 6 through high school.. Custom spray paint

It's a free online image maker that lets you add custom resizable text, images, and much more to templates. People often use the generator to customize established memes , such as those found in Imgflip's collection of Meme Templates . However, you can also upload your own templates or start from scratch with empty templates.The order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (same level), and Addition …Hard math equations are mathematical expressions that involve complex calculations and require a higher level of problem-solving skills than the average student might …What are some hard math equations that equals 7? Updated: 4/28/2022. Wiki User. ∙ 9y ago. Study now. See answer (1) Best Answer. Copy. How about finding the solutions of the quadratic equation: x^2-14x+49 = 0.Answer & Explanation. Steps: 1) Light fire on first bar from both the ends and second bar from one end. 2) After 30 seconds (when first bar gets completely burned out) , burn the second bar from second end as well. 3) When second run completely gets burned , you know its 45 seconds.Oct 26, 2016 · Just to give you an idea of how tough it was, Australian-American mathematician Terence Tao - recipient of the 2006 Fields Medal (the mathematician's 'Nobel Prize') - scored a 1 out of 7 when he attempted it. But, you know, he was 13 at the time, so let's cut the man some slack. What made Question 6 so hard is that it actually tried to pay mind ... Correct answer: 65. Explanation: First, notice that we can factor into the form (a-b) (a+b). We are told that a-b=3, so we can substitute that into the first equation. If we divide both sides by 3, we can obtain the value of a+b. We now have a system of equations: a …Answer: 1. Start by solving the division part of the equation. In order to do that, in case you forgot, you have to flip the fraction and switch from division to multiplication, thus getting 3 x 3 = 9. Now you have 9 – 9 + 1, and from there you can simply work from left to right and get your final answer: 1. 11.Riddle: Using only addition, add eight 8s to get the number 1,000. Answer: 888 + 88 + 8 + 8 + 8 = 1,000. This is the kind of math riddle you can work out with times tables, or by simple logic ...1 = 0.999999999…. This simple equation, which states that the quantity 0.999, followed by an infinite string of nines, is equivalent to one, is the favorite of mathematician Steven Strogatz of ...Mar 11, 2021 · In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x 3 +y 3 +z 3 =k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a “Diophantine equation ... Brackets are symbols used in pairs to group things together. Types of brackets include: parentheses or "round brackets" ( ) "square brackets" or "box brackets" [ ] braces or "curly brackets" { } "angle brackets" < >. (Note: Angle brackets can be confusing as they. look like the "less than" and "greater than" signs)Oct 26, 2016 · Just to give you an idea of how tough it was, Australian-American mathematician Terence Tao - recipient of the 2006 Fields Medal (the mathematician's 'Nobel Prize') - scored a 1 out of 7 when he attempted it. But, you know, he was 13 at the time, so let's cut the man some slack. What made Question 6 so hard is that it actually tried to pay mind ... Correct answer: 65. Explanation: First, notice that we can factor into the form (a-b) (a+b). We are told that a-b=3, so we can substitute that into the first equation. If we divide both sides by 3, we can obtain the value of a+b. We now have a system of equations: a …Complicated math equations. These are some examples of hard, complicated and complex math equations that evaluate to 0 and 1. These random math problems are generated with num2math, a complicated math expression generator. Complicated difficult long equations that equals 0 Complicated difficult long equations that equals 1 ©Linear equations with variables on both sides. Why we do the same thing to both sides: …The HP 50g is a powerful graphing calculator that has become a staple in the world of advanced mathematics. One of its standout features is the equation library, which allows users...Hard Math Equation That Equals 2. Equations with variables on both sides practice khan academy two step algebra worked example hard math equation that equals 2 tessshlo one division solving involving fractions you s of linear 48 9 3 know your meme solve quadratic the formula. Equations With Variables On Both Sides Practice Khan …Strategic Multiplication. Fraction Tasks. Problem Solving. 3rd Grade Math. Visual Math Tools. Model Word Problems. Free, online math games and more at MathPlayground.com! Problem solving, logic games and number puzzles kids love to play.18 Aug 2023 ... ... Equation and Group Theory 22:06 PDE and Fourier Analysis 27:36 Outro Corrections: 11:48 It is true that Euler provided the first proof and ...Updated. Mar 8, 2019, 10:52 AM PST. A scene from "The Christmas Prince." Netflix. A viral math equation with two solutions confused Facebook users. A seemingly simple math problem …18 Aug 2023 ... Hardest Olympiads Math Problem I have ever Solved | Amazing Equation | Only for the Genius · Comments20.What is the most difficult equation ever? For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that’s sometimes known as “summing of three cubes.”.If so, then you will love today’s hard math problem, which is quite the brain bender. Here is the problem, which involves figuring out the weights of pumpkins and watermelons: Three pumpkins and two watermelons weigh 27.5 pounds. Four pumpkins and three watermelons weigh 37.5 pounds. Each pumpkin weighs the same as the other …Feb 27, 2024 · Whether you're a math enthusiast seeking a cerebral workout or a student gearing up for a challenging exam, this quiz will put your mathematical skills to the test. Our carefully curated set of difficult math quiz questions with answers covers a wide range of mathematical concepts, from advanced algebra to intricate calculus and mind-bending ... CMI was founded in 1998 by American businessman Landon T. Clay “to increase and disseminate mathematical knowledge.”. The seven problems, which were announced in 2000, are the Riemann hypothesis, P versus NP problem, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier-Stokes equation, Yang-Mills …Solve Equations Involving Fractions. The method of solving equations with fractions adopted here is the one where we get rid of fractions first (to avoid dealing with fraction) by multiplication and then solve the equation. Example 6. Solve the equation \quad \dfrac {x} {2} = - 3 and check the solution obtained.Now, letting S 1 ˆX B, and S 0 ˙Aas produced by X Band IntA with the above lemma applied twice. I inductivly create open S k=2i one level of \i" at a time. At each point if q<r, then S q ˆS r.S k=2i (k odd), is generated by the above lemma between SJan 16, 2018 · Physics contains equations that describe everything from the stretching of space-time to the flitter of photons. Yet only one set of equations is considered so mathematically challenging that it’s been chosen as one of seven “Millennium Prize Problems” endowed by the Clay Mathematics Institute with a $1 million reward: the Navier-Stokes equations, which describe how fluids flow. Here is the same long equation with a single equation number, but centered. Here the combination of ”equation” and ”split” environments is used. We prefer this version for numbered long equations. Z G Θ(f ε (t))dµ(t) = − Z G f4(t)dµ(t) +(b2 +2a2) Z G f2 ε(t)dµ(t)+2ab2 G f (t)dµ(t)+a2b2 −a4. (2) 2 Multiline Equations Example 1.Super hard system of equations. Ask Question. Asked 5 years, 2 months ago. Modified 5 years, 2 months ago. Viewed 7k times. 32. Solve the system of equation for real … Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result. Solving Hard Math Problems The Easy Way Some math problems, such as Collatz Conjecture and the Riemann Hypothesis are brutally difficult. But this does not mean they cannot be solved. Your ability to effectively solve problems, even the hard math equations you thought were impossible, is having the right attitude.True False Math Equations True False Equations Algebraic Thinking from www.pinterest.com. Mathematician Discusses Solving A Seemingly Unsolvable Equation. Hard Math Problems That Went Viral In 2018 Insider. 32 of 5 - 233 votes - 160 people like it Do not use a pen and paper or pencil You may not be such a brain box after all.What is the hardest math equation on earth? September 29, 2022by George Jackson. Spread the love. In 2019, mathematicians finally solved a math puzzle that had stumped them for decades. It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k …Calculators have become an essential tool for students, professionals, and even everyday individuals. Whether you need to solve complex equations or perform simple arithmetic calcu...22 Feb 2023 ... | Learn how to solve the difficult equation quickly | Math Olympiad Training Olympiad Mathematical Question! | Learn Tips how to solve ... Find the center and radius of the circle with equation x 2 + y 2-2x + 4y - 11 = 0 Find the constant k so that the quadratic equation 2x 2 + 5x - k = 0 has two real solutions. Find the constant k so that the system of the two equations: 2x + ky = 2 and 5x - 3y = 7 has no solutions. Factor the expression 6x 2 - 13x + 5 The “heart” of solving a literal equation is to isolate or keep by itself a certain variable on one side of the equation (either left or right) and the rest on the opposite side. If you know how to solve regular One-Step Equations, Two-Step Equations, and Multi-Step Equations, the process of solving literal equations is very similar.16 May 2018 ... Pow((20 / f), w) / Math.Pow(20, n);. If I assume that every variable of the equation is 2, than I get -.02.... hard problems in math — and beyond ... How to Work Through Hard Math Problems. Richard ... equation that you don't have to travel with Pythagoras to get there!)This hard math equation to be ever solved is easy to state yet hard to prove. As per it, if you take 4 crayons of different colors and any map, you can color each state/country on the map without using the same color for those who share a border. That’s true, take any map out there, and the result will be the same as per the four-color ...Sir Andrew Wiles wins the Abel Prize. “Problems that had previously seemed inaccessible, now became open.”. READ: Gorgeous $23 million mansion in the woods has a design inspired by math ...Hard math equations are mathematical expressions that involve complex calculations and require a higher level of problem-solving skills than the average student might …26 Oct 2023 ... Math is the engine of the universe, driving and dictating all actions, interactions, transformations, and appearances, including yours. Equation ...Problem 2. Find the difference between the roots of the quadratic equation \displaystyle x^2-9x+20=0 x2−9x+20=0. Problem 3. Solve the quadratic equation \displaystyle x^2-20x-69=0 x2−20x−69 =0 In the answer box, write the roots separated by a comma. Problem 4. Solve the equation \displaystyle (x-2)^2+2x=7 (x-2) (x−2)2+2x= 7(x−2) In ...Here is the same long equation with a single equation number, but centered. Here the combination of ”equation” and ”split” environments is used. We prefer this version for numbered long equations. Z G Θ(f ε (t))dµ(t) = − Z G f4(t)dµ(t) +(b2 +2a2) Z G f2 ε(t)dµ(t)+2ab2 G f (t)dµ(t)+a2b2 −a4. (2) 2 Multiline Equations Example 1.Oct 5, 2023 - If you're searching for challenging math equation worksheets, your search ends here. Our carefully curated collection of Hard Math Equations Worksheets is designed to help …College Math; History; Games; MAIN MENU; 1 Grade. Adding and subtracting up to 10; Comparing numbers up to 10; Adding and subtracting up to 20; Addition and Subtraction within 20; ... Logarithmic Equations: Very Difficult Problems with Solutions. Problem 1. Find the root of the equation [tex]2+lg\sqrt{1+x}+3lg\sqrt{1-x}=lg\sqrt{1-x^2}[/tex]The theorem states that for large values of x, π (x) is approximately equal to x/ln (x). Solution:Are you struggling with math concepts? Do you find it difficult to grasp complex mathematical formulas and equations? Look no further than Mathisfun.com, your ultimate destination ... The order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (same level), and Addition and Subtraction (same level). By following these steps, you can simplify and accurately solve mathematical expressions, ensuring a correct final answer. Created by Sal ... 33 divided by 3 = 11 3 squared + 40 - 38 = 11 5 + 6 = 11 ===== An equation is a statement. It's never a number, and never equal to a number. The "solution" of an equation is the number that makes the statement true when you put that number in place of the variable in the equation. Here are a few equations for which 11 is a solution: x + 4 …Author has 2K answers and 714.1K answer views Jun 20. One example of a complicated equation that equals 8 is: (2^ (4-1)) + (sqrt (16) - (5 x 2)) = 8. In this equation, the calculations involve exponentiation, square roots, multiplication, and subtraction. The equation simplifies as follows:One Step Equations. Grade 6 Practice With Math. Grade 6 Fractions Worksheets Simplify Harder K5 Learning. Worksheet On Addition Exercise Sheet Write In Columns And Add. Viral math equations that stumped the algebra solving two step grade 6 practice with hard problems ll make your percents worksheets hardest school test ever …The Simplest Math Problem No One Can Solve - Collatz Conjecture - YouTubePhysics contains equations that describe everything from the stretching of space-time to the flitter of photons. Yet only one set of equations is considered so mathematically challenging that it’s been chosen as one of seven “Millennium Prize Problems” endowed by the Clay Mathematics Institute with a $1 million reward: the …It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from one to 100. On the surface, …In fact, solving an equation is just like solving a puzzle. And like puzzles, there are things we can (and cannot) do. Here are some things we can do: Add or Subtract the same value from both sides. Clear out any fractions by Multiplying every term by the bottom parts. Divide every term by the same nonzero value.Equation Word Problems Worksheets. This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step, two-step and multi-step equations that involve integers, fractions, and decimals. These worksheets are best suited for students in grade 6 through high school. Free Math Help Online Brackets are symbols used in pairs to group things together. Types of brackets include: parentheses or "round brackets" ( ) "square brackets" or "box brackets" [ ] braces or "curly brackets" { } "angle brackets" < >. (Note: Angle brackets can be confusing as they. look like the "less than" and "greater than" signs)I don't know how to write the formula given in C++ and I cant use short cuts. I have to write the code in long version this is what I have so farThe order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (same level), and Addition …The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem.. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical …In fact, solving an equation is just like solving a puzzle. And like puzzles, there are things we can (and cannot) do. Here are some things we can do: Add or Subtract the same value from both sides. Clear out any fractions by Multiplying every term by the bottom parts. Divide every term by the same nonzero value.Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi ... To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the ...22 Feb 2023 ... | Learn how to solve the difficult equation quickly | Math Olympiad Training Olympiad Mathematical Question! | Learn Tips how to solve ...Difficult but rewarding: Control theory, Digital & Analog signal processing. Hardest to easiest: Calc 2, Differential Equations, Calc 1, calc 3, Statistics. DiffyQ - step 1: assume the solution is in this form, step 2: solve for the coefficients. Hold on, lets go back to step 1. Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.The following table is a partial lists of typical equations. LINEAR EQUATIONS - Solve for x in the following equations. x - 4 = 10 Solution. 2 x - 4 = 10 Solution. 5x - 6 = 3 x - 8 Solution.One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes.”. …Think about using some of the tips below to help you choose which questions will fit right in your game of trivia. 1. Keep the players' ages in mind. via: Pexels / Max Fischer. When it comes to math trivia, you need to be aware of the age groups of the people who will be playing the game.Think about using some of the tips below to help you choose which questions will fit right in your game of trivia. 1. Keep the players' ages in mind. via: Pexels / Max Fischer. When it comes to math trivia, you need to be aware of the age groups of the people who will be playing the game. This formula generator creates a random hard and long expression each time. Some examples. There is an endless number of math expressions for every number. Click "Generate" several times for a different output. Each output is a random math problem. You can copy and paste the generated equations. Right click (or long press if on a mobile device ... Free math problem solver answers your algebra homework questions with step-by-step explanations.I use it as reference software for my math problems and can swear that it has made learning math more enjoyable. Emaths.net provides practical info on hard math equations that are written, linear algebra and basic mathematics and other math topics. In case that you will need guidance on algebra review or perhaps systems of linear equations ...Multi-Step Equations Practice Problems with Answers. For this exercise, I have prepared seven (7) multi-step equations for you to practice. If you feel the need to review the techniques involved in solving multi-step equations, take a short detour to review my other lesson about it. Click the link below to take you there!The most common equation for speed is: speed = distance / time. It can also be expressed as the time derivative of the distance traveled. Mathematically, it can be written as v = s...Feb 27, 2024 · Whether you're a math enthusiast seeking a cerebral workout or a student gearing up for a challenging exam, this quiz will put your mathematical skills to the test. Our carefully curated set of difficult math quiz questions with answers covers a wide range of mathematical concepts, from advanced algebra to intricate calculus and mind-bending ... On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain. I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe, Jhe-Kuan Su. In this article, we …Now, letting S 1 ˆX B, and S 0 ˙Aas produced by X Band IntA with the above lemma applied twice. I inductivly create open S k=2i one level of \i" at a time. At each point if q<r, then S q ˆS r.S k=2i (k odd), is generated by the above lemma between S22 Feb 2023 ... | Learn how to solve the difficult equation quickly | Math Olympiad Training Olympiad Mathematical Question! | Learn Tips how to solve ...6th grade 11 units · 148 skills. Unit 1 Ratios. Unit 2 Arithmetic with rational numbers. Unit 3 Rates and percentages. Unit 4 Exponents and order of operations. Unit 5 Negative numbers. Unit 6 Variables & expressions. Unit 7 Equations & inequalities. Unit 8 …Photomath is a revolutionary mobile app that has transformed the way students approach math homework. With its advanced technology, this app allows users to solve math problems sim... The order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (same level), and Addition and Subtraction (same level). By following these steps, you can simplify and accurately solve mathematical expressions, ensuring a correct final answer. Created by Sal ...

Example Questions. High School Math Help » Algebra II » Basic Single-Variable Algebra » Equations. Equations : Example Question #1. Tom is painting a fence .... Cheap sticker printing

hard math equation

What Is The Hardest Type Of Math Quora. Hardest Math Problem Solved Diophantine Equation Answers. Math Questions From The Sats That Everyone Gets Wrong. If You Can Do 7 10 Of These Math Problems In Your Head We Ll Be Impressed. History Of The Quadratic Formula From Babylon To Math Class Big Think. Viral math …Here are a few example problems I've already worked on to illustrate what I'm looking for: Find the ratio of the height to the radius of the cone of minimal volume circumscribed around a hemisphere of fixed radius R. 2)Think of a sphere with radius R with a hole of radius r (r<R) drilled along diameter of the sphere.8.3 - Solve Equations with Variables and Constants on Both Sides. In the following exercises, solve the equations with constants on both sides. 8p + 7 = 47. 10w − 5 = 65. 3x + 19 = −47. 32 = −4 − 9n. In the following exercises, solve the equations with variables on both sides. 7y = 6y − 13. 5a + 21 = 2a.On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain. I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe, Jhe-Kuan Su. In this article, we …Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.College Math; History; Games; MAIN MENU; 1 Grade. Adding and subtracting up to 10; Comparing numbers up to 10; Adding and subtracting up to 20; Addition and Subtraction within 20; ... Logarithmic Equations: Very Difficult Problems with Solutions. Problem 1. Find the root of the equation [tex]2+lg\sqrt{1+x}+3lg\sqrt{1-x}=lg\sqrt{1-x^2}[/tex]Solve Equations Involving Fractions. The method of solving equations with fractions adopted here is the one where we get rid of fractions first (to avoid dealing with fraction) by multiplication and then solve the equation. Example 6. Solve the equation \quad \dfrac {x} {2} = - 3 and check the solution obtained.The “heart” of solving a literal equation is to isolate or keep by itself a certain variable on one side of the equation (either left or right) and the rest on the opposite side. If you know how to solve regular One-Step Equations, Two-Step Equations, and Multi-Step Equations, the process of solving literal equations is very similar.Mathematical equations are an essential part of many academic and professional disciplines. Whether you’re a student, teacher, researcher, or working professional, having a reliabl...Dec 30, 2022 · It’s hard to believe that there could be no solution to the equation an + bn = cn for any value of n greater than 2, but that’s exactly what the theorem states. ... the world’s hardest math ... A constant in math is a fixed value. It may be a number on its own or a letter that stands for a fixed number in an equation. For example, in the equation “6x – 4 = 8,” both 4 and ...Jun 6, 2018 · Here are a set of practice problems for the Systems of Equations chapter of the Algebra notes. If you’d like a pdf document containing the solutions the download tab above contains links to pdf’s containing the solutions for the full book, chapter and section. At this time, I do not offer pdf’s for solutions to individual problems. Browse 11,228 authentic math equations stock photos, high-res images, and pictures, or explore additional math or equation infographic stock images to find the right photo at the right size and resolution for your project. Math equations written on a blackboard. Mathematics, conceptual illustration. Blackboard full of equations. A fun way to do it yourself would be to work backwards. Start with 1, and then continuously represent it by more and more complicated pieces. e.g. 1 = cos 2 (x) + sin 2 (x) = (e ix + e -ix ) 2 /4 + sin 2 (x) = (e 2ix + e -2ix )/4 + e 2ln (sin (x)) + 1/2. You could continue like this as far out as you'd like. 47. [deleted] Think about using some of the tips below to help you choose which questions will fit right in your game of trivia. 1. Keep the players' ages in mind. via: Pexels / Max Fischer. When it comes to math trivia, you need to be aware of the age groups of the people who will be playing the game.For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from …Only Wolfram Problem Generator directly integrates the popular and powerful Step-by-step Solutions from Wolfram|Alpha. You can use a single hint to get unstuck, or explore the entire math problem from beginning to end. Online practice problems for math, including arithmetic, algebra, calculus, linear algebra, number theory, and statistics. Trigonometry Questions. QUESTION #1: The equations of the two graphs shown below are y 1 ( t) = a 1 sin ( b 1 t) and y 2 ( t) = a 2 cos ( b 2 t), where the constants b 1 and b 2 are both positive real numbers. Which of the following statements is true of the constants a 1 and a 2? A. 0 < a 1 < a 2. B. 0 < a 2 < a 1. The “heart” of solving a literal equation is to isolate or keep by itself a certain variable on one side of the equation (either left or right) and the rest on the opposite side. If you know how to solve regular One-Step Equations, Two-Step Equations, and Multi-Step Equations, the process of solving literal equations is very similar.Then, divide each side using 20 to find x. x≤150. In Most cases, most students stop here. But we will move on to solve for coordinate b in ( a,b). Simply call it the ­ y-value. We will plug the x into each equation to get the value for b. We selected the second because it is simper: 5*150=750..

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