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: 15


The equation has one solution, 5.

Work Step by Step

$\frac{5}{3p}+\frac{2}{3}=\frac{5+p}{2p}$ $\frac{10}{6p}+\frac{4p}{6p}-\frac{3(p+5)}{6p}=0$ $\frac{10+4p-3p-15}{6p}=0$ $\frac{p-5}{6p}=0$ $p-5=0\times6p$ $p-5=0$ $p=5$ Check: $5/(3\times5)+2/3=1/3+2/3=1;(5+5)/(2*5)=10/10=1$ The equation has one solution, 5.
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