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: 22

Answer

No solution

Work Step by Step

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