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High School Math Algebra Algebra 2

The solution set for the system of equations. 2 x − 3 y = 9 4 x + 3 y = 9

The solution set for the system of equations. 2 x − 3 y = 9 4 x + 3 y = 9

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 1PT

To determine

To calculate: The solution set for the system of equations.

2x−3y=94x+3y=9

Expert Solution & Answer

Answer to Problem 1PT

The solution set for the system of equations is (3,−1) .

Explanation of Solution

Given information:

The system of equations

2x−3y=94x+3y=9

Calculation:

Consider the system of equations

2x−3y=94x+3y=9

Use the method of elimination to solve the system above.

Add both the equations,

2x−3y=94x+3y=9+6x+0=18

Therefore,

6x=18x=3

Now substitute x=3 in the equation 2x−3y=9 ,

2(3)−3y=9−3y=9−6−3y=3y=−1

Therefore, solution is the coordinate pair, (3,−1) .

Thus, the solution set for the system of equations is (3,−1) .

Chapter 3, Problem 30SGR

Chapter 3, Problem 2PT

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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