Explanation Given Information: The provided equations, 3 x − 8 y = 2 5 x + 2 y = − 12 Formula used: Steps to solve the system of equations for two variable by elimination method, Step 1: Make any one of the term of both the equation equal and opposite. Step 2: Add both the equations, to eliminate one variable and solve for the remaining variable. Step 3: Substitute the value of the variable obtained in step 2 in the original equation to obtain the value of other variable. Step 4: Check the solution by substituting the solution in both the provided equation. Calculation: Consider the equations, 3 x − 8 y = 2 5 x + 2 y = − 12 Now, to solve the equations by elimination method, First multiply the 5 x + 2 y = − 12 by 4 , 4 ( 5 x + 2 y ) = 4 × − 12 20 x + 8 x = − 48 Add the above equations with the equation 3 x − 8 y = 2 , 3 x − 8 y = 2 20 x + 8 y = − 48 _ 23 x = − 46 Solve for x , 23 x 23 = − 46 23 x = − 2 Now, substitute the value of x in any of the original e

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.3, Problem 6DE

To determine

To calculate: The solution of the system of equation,

3x−8y=25x+2y=−12

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Chapter 13.3, Problem 5DE

Chapter 13.3, Problem 7DE

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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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