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 - Page 523: 12


a = -6

Work Step by Step

$\frac{a+5}{4}$+$\frac{a+5}{2}$=$\frac{a}{8}$ 8($\frac{a+5}{4}$+$\frac{a+5}{2}$)=8$\frac{a}{8}$ 8$\frac{a+5}{4}$+8$\frac{a+5}{2}$=a 2(a+5)+4(a+5)=a 2a+10+4a+20=a 6a+30=a 6a-a+30=0 5a=-30 a=-6 The solution is -6 Check Let x=-6 $\frac{a+5}{4}$+$\frac{a+5}{2}$=$\frac{a}{8}$ $\frac{-6+5}{4}$+$\frac{-6+5}{2}$=$\frac{-6}{8}$ $\frac{-1}{4}$+$\frac{-1}{2}$=$\frac{-3}{4}$ $\frac{-1}{4}$+$\frac{-2}{4}$=$\frac{-3}{4}$ $\frac{-3}{4}$=$\frac{-3}{4}$
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