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 292: 51


a. They are parallel lines. b. The system does not have a solution.

Work Step by Step

a. $x + y = 4$ and $x + y = 3$ are parallel lines. Both linear equations are in the standard form ($Ax+By=C$). Their slopes are calculated as $m=-\frac{A}{B}=-\frac{1}{1}=-1$. Since they have the same slope, they are parallel lines. b. Since, they do not intersect, the system does not have a solution.
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