Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1 - Page 281: 20

Answer

$-1$

Work Step by Step

We first factor the denominator of the fraction: Step 1: $\frac{x-9}{9-x}$ Step 2: $\frac{x-9}{-1(x-9)}$ Finally, we cancel out the common factor of $x-9$ to obtain: Step 3: $\frac{1}{-1}$ Step 4: $-1$
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