Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.8 - Solving Equations Containing Fractions - Exercise Set - Page 312: 66


The solution is $\frac{-4}{25}$

Work Step by Step

$\frac{5}{4}$y =$\frac{1}{2}$ - $\frac{7}{10}$ Multiply by LCD,20 20$\frac{5}{4}$y =20$\frac{1}{2}$ -20 $\frac{7}{10}$ $\frac{20\times5y}{4}$ =$\frac{20\times1}{2}$ - $\frac{20\times7}{10}$ $\frac{4\times5\times5y}{4}$ =$\frac{2\times10\times1}{2}$ - $\frac{2\times10\times7}{10}$ 5$\times$5y =10$\times$1 -2$\times$7 25y=10-14 25y=-4 $\frac{25y}{25}$=$\frac{-4}{25}$ y=$\frac{-4}{25}$ The solution is $\frac{-4}{25}$ Check Replace y with $\frac{-4}{25}$ $\frac{5}{4}$y =$\frac{1}{2}$ - $\frac{7}{10}$ $\frac{5}{4}$$\times$$\frac{-4}{25}$ =$\frac{1}{2}$ - $\frac{7}{10}$ $\frac{5\times-4}{4\times25}$ =$\frac{1}{2}$ - $\frac{7}{10}$ $\frac{5\times-4}{4\times5\times5}$ =$\frac{1}{2}$ - $\frac{7}{10}$ $\frac{-4}{20}$ =$\frac{1}{2}$ - $\frac{7}{10}$ LCD is 20 20$\frac{-4}{20}$ =20$\frac{1}{2}$ - 20$\frac{7}{10}$ -4=10-2$\times$7-4=10-14 -4=-4
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