Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.5 - Integrated Review - Summary on Rational Expressions - Page 527: 21


equation $x=8/5$

Work Step by Step

$\frac{3}{x+3}=\frac{5}{x^2-9}-\frac{2}{x-3}$ $\frac{3}{x+3}=\frac{5}{(x+3)(x-3)}-\frac{2}{x-3}$ $(x+3)(x-3)*\frac{3}{x+3}=(x+3)(x-3)*\frac{5}{(x+3)(x-3)}-(x+3)(x-3)*\frac{2}{x-3}$ $3(x-3)=5-(x+3)*2$ $3x-9=5-2x-6$ $3x-9=-2x-1$ $5x-9=-1$ $5x=8$ $5x/5=8/5$ $x=8/5$
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