Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - Chapter Review - Page 409: 8



Work Step by Step

Given: $y=-2x-21$ $y= x - 7$ The lines appear to intersect at $(-\frac{14}{3},-\frac{35}{3})$. Check if $(-\frac{14}{3},-\frac{35}{3})$ makes both equations true. $y=-2x-21$ $-\frac{35}{3}=-2(-\frac{14}{3})-21$ $-\frac{35}{3}=-\frac{35}{3}$ $-\frac{35}{3}= -\frac{14}{3} - 7$ $-\frac{35}{3}=-\frac{35}{3}$ The solution is $(-\frac{14}{3},-\frac{35}{3})$.
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