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: 28

Answer

No solution

Work Step by Step

Please see the screenshot of the tables for the two equations. Purple line: $4x=2-2y$ Green line: $y=-2x+3$ Green line: $y+2x=3$ $y+2x-2x=3-2x$ $y=-2x+3$ ($m=-2$, y-intercept is 3) Purple line: $4x=2-2y$ $4x+2y-4x=2-2y+2y-4x$ $2y=-4x+2$ $2y/2=(-4x+2)/2$ $y=-2x+1$ ($m=-2$, y-intercept is 1) Since the two lines have the same slope, they are parallel and will not intersect. Thus, there is no solution to the system.
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