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 290: 17

Answer

$(1,-2)$

Work Step by Step

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