## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 190: 1

#### Answer

It is a solution.

#### Work Step by Step

In order to see if the given ordered pair is a solution, we plug in the given values for x and y into both equations. Then, we follow order of operations. According to order of operations, we simplify inside parentheses, then we simplify powers, then we multiply and divide, and finally, we add and subtract. When we do this, we find: $x-y=12\\\\7-(-5)=12\\\\7+5=12\\\\12=12$ Equation 2: $x+y=2 \\\\ 7+(-5)=2 \\\\ 7-5=2 \\\\ 2=2$ The solution is true for both equations, so this is a solution to the system.

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