Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

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


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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