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 214: 95

Answer

Ordered Pair Solution $(\frac{1}{3},\frac{1}{2})$

Work Step by Step

We have $$1)\frac{1}{x}+\frac{1}{y}=5$$ $$2)\frac{1}{x}-\frac{1}{y}=1$$ (1)+(2) $$\frac{2}{x}=6$$ $$x=\frac{1}{3}$$ Solving for $y$ $$\frac{1}{y} = 5-1\div\frac{1}{3}$$ $$y=\frac{1}{2}$$ Ordered Pair Solution $(\frac{1}{3},\frac{1}{2})$
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