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 - 6-1 Solving Systems by Graphing - Got It? - Page 365: 1

Answer

The solution of the system is $(-2,0)$.

Work Step by Step

Graph both equations in the same coordinate plane. $y = x+2 \rightarrow $ The slope is 1. The y-intercept is 2. $y = 2x+4 \rightarrow $ The slope is 2. The y-intercept is 4. Find the point of intersection. The lines appear to intersect at $(-2,0)$. Check to see if $(-2,0)$ makes both equations true. $y=x+2 \rightarrow 0=-2+2 \rightarrow 0=0 $ $y=2x+4 \rightarrow 0=2(-2)+4=0$
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