Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Cumulative Review - Page 253: 41b

Answer

$(-2,3)$ does not satisfy one of the equations therefore it is not a solution of the system.

Work Step by Step

The given point is a solution of the system if its coordinates satisfy both equations. $\\\\\\$Substitute the x and y coordinates of (-2, 3) to each equation to have: $\\\\\begin{array}{r}5x+3y \stackrel{?}{=}-1 \\5(-2)+3(3)\stackrel{?}{=}-1 \\-10+9\stackrel{?}{=}-1 \\-1\stackrel{\checkmark}{=}-1\end{array}$ $\\\\\begin{array}{r}x-y \stackrel{?}{=}1 \\-2-3\stackrel{?}{=}1 \\-5\ne1\end{array}$
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