Algebra: A Combined Approach (4th Edition)

Published by Pearson

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set: 52

Answer

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

Work Step by Step

a. $2x + y = 0$ and $y = -2x + 1$ are parallel lines. We can put the second line equation in standard form ($Ax+By=C$) as the first one: $2x+y = 1$. Their slopes are calculated as $m=-\frac{A}{B}=-\frac{2}{1}=-2$. 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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