Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - Chapter Review - Chapter Test - Page 796: 1



Work Step by Step

We are given the system of equations: $\begin{cases} -2x+y=-7\\ 4x+3y=9 \end{cases}$ Use the substitution method: $\begin{cases} y=2x-7\\ 4x+3y=9 \end{cases}$ Substitute the expression of $y$ from the first equation into the second to find $x$: $4x+3(2x-7)=9$ $4x+6x-21=9$ $10x=30$ $x=3$ Determine $y$: $y=2(3)-7$ $y=-1$ The solution set is: $\{(3,-1)\}$
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