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 524: 33


x = -2

Work Step by Step

$\frac{x+1}{3}$-$\frac{x-1}{6}$=$\frac{1}{6}$ 6($\frac{x+1}{3}$-$\frac{x-1}{6}$)=6$\frac{1}{6}$ 6$\frac{x+1}{3}$-6$\frac{x-1}{6}$=6$\frac{1}{6}$ 2(x+1)-(x-1)=1 2x+2-x+1=1 x+3=1 x=1-3 x=-2 The solution is -2 Check Let x=-2 $\frac{-2+1}{3}$-$\frac{-2-1}{6}$=$\frac{1}{6}$ -$\frac{1}{3}$-$\frac{-3}{6}$=$\frac{1}{6}$ -$\frac{2}{6}$+$\frac{3}{6}$=$\frac{1}{6}$ $\frac{1}{3}$=$\frac{1}{6}$
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