Answer
$= -\frac{x+9}{x+7}$
Work Step by Step
$\frac{5-x}{x+7} \div \frac{x-5}{x+9}$
$= \frac{5-x}{x+7} \times \frac{x+9}{x-5}$
$= \frac{5-x}{x+7} \times \frac{x+9}{-(5-x)}$
$= \frac{1}{x+7} \times \frac{x+9}{-1}$
$= -\frac{x+9}{x+7}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 7 - Rational Functions - 7.3 Multiplying and Dividing Rational Expressions - 7.3 Exercises - Page 580: 29
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