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: 26

Answer

$(1,2)$

Work Step by Step

Please see the screenshot of the tables for the two equations. Green line: $x+3y=7$ Purple line: $2x-3y=-4$ If we replace $x$ and $y$ with $1$ and $2$, respectively, for the green line, we have $x+3y=7$ $1+3*2=7$ $1+6=7$ (true) Purple line: $2x-3y=-4$ $2*1-3*2=-4$ $2-6=-4$ (true) Purple line: $2x-3y=-4$ $2x-3y+3y+4=-4+3y+4$ $2x+4=3y$ $(2x+4)/3=3y/3$ $2/3*x+4/3=y$ ($m=2/3$, y-intercept is 4/3) Green line: $x+3y=7$ $3y=7-x$ $3y/3=(7-x)/3$ $y=7/3-1/3*x$ $y=-1/3*x+7/3$ ($m=-1/3$, y-intercept is 7/3)
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.