Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 695: 20


The equation has one solution, -4.

Work Step by Step

$\frac{3+a}{2a}=\frac{1}{3}+\frac{5}{6a}$ $\frac{3(3+a)}{6a}-\frac{2a}{6a}-\frac{5}{6a}=0$ $\frac{3a+9}{6a}-\frac{2a}{6a}-\frac{5}{6a}=0$ $\frac{3a+9-2a-5}{6a}=0$ $a+4=0\times6a$ $a+4=0$ $a=-4$ Check: $(3-4)/[2\times(-4)]=-1/-8=1/8;1/3+5/[6\times(-4)]=1/3-5/24=1/8$ The equation has one solution, -4.
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