Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.2 - Simplifying Algebraic Expressions - Exercise - Page 218: 36

Answer

$-\frac{1}{4}x+\frac{1}{6}y$

Work Step by Step

To combine like terms, add the coefficients. $\frac{1}{2}x-\frac{2}{3}y-\frac{3}{4}x+\frac{5}{6}y=(\frac{1}{2}-\frac{3}{4})x+((-\frac{2}{3})+\frac{5}{6})y=(\frac{2}{4}-\frac{3}{4})x+((-\frac{4}{6})+\frac{5}{6})y=-\frac{1}{4}x+\frac{1}{6}y$
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