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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. x + y = 6 3 x − 2 y = − 2

The solution set for the system of equations with the help either substitution or elimination. x + y = 6 3 x − 2 y = − 2

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 16SGR

To determine

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

x+y=63x−2y=−2

Expert Solution & Answer

Answer to Problem 16SGR

The solution set for the system of equations is (2,4) .

Explanation of Solution

Given information:

The system of equations

x+y=63x−2y=−2

Calculation:

Consider the system of equations

x+y=63x−2y=−2

Use the method of substitution to solve the system above.

From the equation x+y=6 isolate the value of y ,

x+y=6y=6−x

Now substitute y=6−x in the equation 3x−2y=−2 ,

3x−2(6−x)=−23x−12+2x=−25x=−2+12

Simplify it further as,

5x=10x=2

Now, substitute x=2 in the equation y=6−x ,

y=6−2y=4

Therefore, solution is the coordinate pair, (2,4) .

Thus, the solution set for the system of equations is (2,4) .

Chapter 3, Problem 15SGR

Chapter 3, Problem 17SGR

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

Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42HP Ch. 3.1 - Prob. 43HP Ch. 3.1 - Prob. 44HP Ch. 3.1 - Prob. 45HP Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - 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