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 - Review Exercises - Page 794: 1



Work Step by Step

We are given the system of equations: $\begin{cases} 2x-y=5\\ 5x+2y=8 \end{cases}$ Use the elimination method. Multiply the first equation by 2 and add it to the second to eliminate $y$ and find $x$: $2(2x-y)+5x+2y=2(5)+8$ $4x-2y+5x+2y=10+8$ $9x=18$ $x=2$ Substitute $x=2$ in the first equation of the given system and determine $y$: $2x-y=5$ $2(2)-y=5$ $4-y=5$ $y=-1$ The solution set is: $\{(2,-1)\}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.