Explanation Given Information: The provided equation: 2 x − 3 y = 7 x + 3 y = − 10 Formula Used: Steps for the elimination method: Step1. Check whether the equations are in standard form a x + b y = c , if not, then rewrite the equations in standard form. Step2. Multiply the equations by a constant in such a way that when they are added one variable is eliminated and the sum of the equations contain only one variable. Step3. Now add the respective sides of the equation. Step4. Simplify the expression obtained in step 3 and compute the value of the variable. Step5. Substitute the value obtained in step 4 in any of the original equation and simplify the expression obtained to obtain the value of the other variable. Step6. Rewrite the solution as an ordered pair. Step7. Verify the solution by substituting the value in all the equations. Calculation: Consider the provided equation, 2 x − 3 y = 7 , x + 3 y = − 10 Now, solve the equation by elimination method, 2 x − 3 y = 7 x + 3 y = − 10 _ 3 x = − 3 x = − 1 Now, substitute the value of x in the x + 3 y = − 10 x + 3 y = − 10 − 1 + 3 y = − 10 3 y = − 9 y = − 3 Hence, the solution is ( − 1 , − 3 )

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.3, Problem 6MCR

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To calculate: The solution of the system of equation 2x−3y=7,x+3y=−10 by the elimination method.

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Chapter 13.3, Problem 5MCR

Chapter 13.3, Problem 7MCR

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Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The solution of the system of equation 2 x − 3 y = 7 , x + 3 y = − 10 by the elimination method.

Solution Summary: The author calculates the solution of the system equation 2x-3y =7,x+3y=-10 by the elimination method.

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To calculate: The solution of the system of equation 2x−3y=7,x+3y=−10 by the elimination method.

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Chapter 13 Solutions