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 - Page 227: 52

Answer

The equations are dependent. There is infinite solutions.

Work Step by Step

If we multiply the first equation by $-4$, then we add the two equations, we can eliminate the $y$ from the system: $x\times(-4)-4\times(-4)y=2\times(-4)$ $4x-16y=8$ $0+0=0$ The equations are dependent. There is infinite solutions.
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