## Elementary Algebra

Published by Cengage Learning

# Chapter 8 - Coordinate Geometry and Linear Systems - 8.5 - Systems of Two Linear Equations - Problem Set 8.5 - Page 370: 66

#### Answer

There are many systems of equations that have this solution set.

#### Work Step by Step

In order to find to sets of linear equations that have $(5,7)$ as their solution set, find two equations that are distinct yet individually have $(5,7)$ as their solution set. Some equations that this is true for are: $x + y = 12$ $7x - 5y = 0$ $7x + 8y = 91$ $2x - y = 3$ In order to find a system of equations with $(5,7)$ as its solution, pick any two equations, and call them a system of equations.

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