Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 16

Answer

a = -1

Work Step by Step

$\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$ (a+2)$\frac{2a}{a+2}$-5(a+2)=(a+2)$\frac{7a}{a+2}$ 2a-5a-10=7a -3a-10=7a -10=7a+3a -10=10a a=-1 The solution is -1 Check -1 $\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$ $\frac{2(-1)}{-1+2}$-5=$\frac{7(-1)}{-1+2}$ $\frac{-2}{1}$-5=$\frac{-7}{1}$ -2-5=-7 -7=-7
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