Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set - Page 291: 25

Answer

$(-1,.5)$

Work Step by Step

Please see the screenshot of the tables for the two equations. Purple line: $3x+2y=-2$ Green line: $x-2y=2$ If we replace $x$ and $y$ with $0$ and $-1$, respectively, for the green line, we have $x-2y=2$ $0-2*(-1)=2$ $0+2=2$ (true) Purple line: $3x+2y=-2$ $3*0+2*(-1)=-2$ $0-2=-2$ (true) Purple line: $3x+2y=-2$ $2y=-2-3x$ $2y/2=(-2-3x)/2$ $y=-3/2*x-1$ Green line: $x-2y=2$ $x-2y+2y-2=2+2y-2$ $x-2=2y$ $(x-2)/2=2y/2$ $1/2*x-1=y$ Purple line: $m=-3/2$, y-intercept is -1 Green line: $m=1/2$, y-intercept is -1
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