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: 51

Answer

The solution is -3

Work Step by Step

$\frac{x}{4}$ +1 =$\frac{1}{4}$ Subtract 1 from both sides $\frac{x}{4}$ +1-1=$\frac{1}{4}$-1 $\frac{x}{4}$ =$\frac{1}{4}$-$\frac{4}{4}$ $\frac{x}{4}$ =-$\frac{3}{4}$ Multiply by 4 both sides 4$\times$$\frac{x}{4}$ =4$\times$-$\frac{3}{4}$ x=-3 The solution is -3 Check Replace x with -3 $\frac{x}{4}$ +1 =$\frac{1}{4}$ $\frac{-3}{4}$ +1 =$\frac{1}{4}$ $\frac{-3}{4}$ +$\frac{4}{4}$ = $\frac{1}{4}$ $\frac{1}{4}$ =$\frac{1}{4}$
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