Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 9 - Basic Algebra - 9.6 Solving Equations - 9.6 Exercises - Page 671: 79



Work Step by Step

We are given the equation $\frac{1}{2}-\frac{3}{4}=\frac{a}{5}$. To solve, we must first combine like terms on the left side. $\frac{1}{2}-\frac{3}{4}=\frac{1\times2}{2\times2}-\frac{3}{4}=\frac{2}{4}-\frac{3}{4}=\frac{2-3}{4}=-\frac{1}{4}=\frac{a}{5}$ Multiply both sides by 5. $-\frac{1}{4}\times5=-\frac{5}{4}=(\frac{a}{5}\times5)=a$ $a=-\frac{5}{4}$
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