Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 212: 51

Answer

Ordered Pair solution $(-\frac{1}{4},\frac{1}{2})$

Work Step by Step

We have $$1)2x-y=-1$$ $$2)y=-2x$$ Substituting (2) in (1) $$2x -(-2x) = -1$$ $$4x=-1$$ $$x=-\frac{1}{4}$$ Solving for $y$ $$y=-2(-\frac{1}{4}) = \frac{1}{2}$$ Ordered Pair solution $(-\frac{1}{4},\frac{1}{2})$
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