Explanation Given Information: The provided equations: − 2 x + y = − 4 − 2 x − 5 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, − 2 x + y = − 4 − 2 x − 5 y = 12 Now, to solve the equations by elimination method, First multiply the equation − 2 x + y = − 4 by 5, 5 ⋅ ( − 2 x + y ) = 5 ⋅ ( − 4 ) − 10 x + 5 y = − 20 Add the above equation with the equation − 2 x − 5 y = 12 , − 10 x + 5 y = − 20 − 2 x − 5 y = 12 _ − 12 x = − 8 Solve for x , − 12 x 12 = − 8 12 x = 8 12 = 2 3 Now, substitute the value of x in any of the original equation to find the value of y , − 2 x + y = − 4 − 2 ( 2 3 ) + y

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.3, Problem 2DE

To determine

To calculate: The solution of the system of equation,

−2x+y=−4−2x−5y=12

By the elimination method.

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Chapter 13.3, Problem 1DE

Chapter 13.3, Problem 3DE

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Chapter 13 Solutions

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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 + y = − 4 − 2 x − 5 y = 12 By the elimination method.

Solution Summary: The author explains how to solve the system of equations for two variables by the elimination method.

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To calculate: The solution of the system of equation,

−2x+y=−4−2x−5y=12

By the elimination method.

Want to see the full answer?

Chapter 13 Solutions

The solution of the system of equation, − 2 x + y = − 4 − 2 x − 5 y = 12 By the elimination method.

Solution Summary: The author explains how to solve the system of equations for two variables by the elimination method.

Concept explainers

Videos

To calculate: The solution of the system of equation, −2x+y=−4−2x−5y=12 By the elimination method.

Want to see the full answer?

Chapter 13 Solutions

To calculate: The solution of the system of equation,

−2x+y=−4−2x−5y=12

By the elimination method.