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: 52

Answer

The solution is 15

Work Step by Step

$\frac{y}{7}$ -2 =$\frac{1}{7}$ Add 2 to both sides $\frac{y}{7}$ -2+2=$\frac{1}{7}$ +2 $\frac{y}{7}$ =$\frac{1}{7}$ +$\frac{14}{7}$ $\frac{y}{7}$ =$\frac{1 +14}{7}$ $\frac{y}{7}$ =$\frac{15}{7}$ Multiply by 7 both sides 7$\times$$\frac{y}{7}$ =7$\times$$\frac{15}{7}$ y=15 The solution is 15 Check Replace y with 15 $\frac{y}{7}$ -2 =$\frac{1}{7}$ Add 2 to both sides $\frac{15}{7}$ -2 =$\frac{1}{7}$ $\frac{15}{7}$ - $\frac{14}{7}$ = $\frac{1}{7}$ LCD to 7 and 1 is 7 $\frac{1}{7}$ =$\frac{1}{7}$
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