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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 3 y − 4 x = − 40

The solution set for the system of equations with the help either substitution or elimination. 5 x + 2 y = 4 3 y − 4 x = − 40

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 10MCQ

To determine

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

5x+2y=43y−4x=−40

Expert Solution & Answer

Answer to Problem 10MCQ

The solution set for the system of equations is (4,−8) .

Explanation of Solution

Given information:

The system of equations

5x+2y=43y−4x=−40

Calculation:

Consider the system of equations

5x+2y=43y−4x=−40

Use the method of elimination to solve the system above.

Multiply first equation by 4 and second equation by 5 and then add both the equations.

5x+2y=44(5x+2y)=(4)(4)20x+8y=16

3y−4x=−405(−4x+3y)=(5)(−40)−20x+15y=−200

Add both the equations,

20x+8y=16−20x+15y=−200+0+23y=−184

Therefore,

23y=−184y=−8

Now substitute y=−8 in the equation 5x+2y=4 ,

5x+2(−8)=45x−16=45x=20x=4

Therefore, solution is the coordinate pair, (4,−8) .

Thus, the solution set for the system of equations is (4,−8) .

Chapter 3, Problem 9MCQ

Chapter 3, Problem 11MCQ

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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