Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - 3.1 Exercises: 64

Answer

This means that the equations have the same slopes, but different y-intercepts. Therefore, the system is inconsistent, there are no solutions.

Work Step by Step

First equation: $-x+2y=8$ $2y=x+8$ $y=\frac{1}{2}x+4$ Second equation: $4x-8y=1$ $8y=4x-1$ $y=\frac{4}{8}x-\frac{1}{8}=\frac{1}{2}x-\frac{1}{8}$ This means that the equations have the same slopes, but different y-intercepts. Therefore, the system is inconsistent, there are no solutions.
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