Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 507: 13


$(0,-5) $ is a solution of the system.

Work Step by Step

A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true. Substituting $x=0, y=-5$ into each equation, $ x-y=5$ $ (0)-(-5)\stackrel{?}{=}5$ $5=5,\qquad $...the first equation is true for $(0,-5)$ $y=3x-5$ $-5\stackrel{?}{=}3(0)-5$ $-5=-5\qquad $...the second equation is true for $(0,-5)$ $(0,-5) $ is a solution of the system.
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