Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - Chapters 1-2 Cumulative Review Problem Set: 41

Answer

$\frac{3x-2y+5}{xy}$

Work Step by Step

First, we will find the LCM of the two denominators. Upon inspection, we find that xy is the lowest number that is a multiple of x, y, and xy. Therefore, $\frac{5}{xy}-\frac{2}{x}+\frac{3}{y}=\frac{5-2(y)+3(x)}{xy}$ Now, we will simplify the expression: Step 1: $\frac{5-2(y)+3(x)}{xy}$ Step 2: $\frac{5-2y+3x}{xy}$ Step 3: $\frac{3x-2y+5}{xy}$
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