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High School Math Algebra Algebra 2

The solution set for the system of equations with the help either substitution or elimination. 5 x − 2 y = 4 − 2 y + x = 12

The solution set for the system of equations with the help either substitution or elimination. 5 x − 2 y = 4 − 2 y + x = 12

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Question

Chapter 3, Problem 17SGR

To determine

To calculate: The solution set for the system of equations with the help either substitution or elimination.

5x−2y=4−2y+x=12

Expert Solution & Answer

Answer to Problem 17SGR

The solution set for the system of equations is (−2,−7) .

Explanation of Solution

Given information:

The system of equations

5x−2y=4−2y+x=12

Calculation:

Consider the system of equations

5x−2y=4−2y+x=12

Use the method of substitution to solve the system above.

From the equation 5x−2y=4 isolate the value of y ,

5x−2y=4−2y=4−5xy=4−5x−2

Now substitute y=4−5x−2 in the equation −2y+x=12 ,

−2(4−5x−2)+x=124−5x+x=124−4x=12−4x=8

Simplify it further as,

−4x=8x=−2

Now, substitute x=−2 in the equation y=4−5x−2 ,

y=4−5(−2)−2y=4+10−2y=14−2y=−7

Therefore, solution is the coordinate pair, (−2,−7) .

Thus, the solution set for the system of equations is (−2,−7) .

Chapter 3, Problem 16SGR

Chapter 3, Problem 18SGR

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 3CYP Ch. 3.1 - Prob. 4ACYP Ch. 3.1 - Prob. 4BCYP Ch. 3.1 - Prob. 4CCYP Ch. 3.1 - Prob. 4DCYP Ch. 3.1 - Prob. 1CYU

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