Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 677: 53

Answer

$\frac{3y+4x}{2y-3x}$

Work Step by Step

$\frac{3}{x}+\frac{4}{y}\div\frac{2}{x}-\frac{3}{y}$ $\frac{3}{x}*(y/y)+\frac{4}{y}*(x/x)\div\frac{2}{x}*(y/y)-\frac{3}{y}*(x/x)$ $\frac{3y}{xy}+\frac{4x}{xy}\div\frac{2y}{xy}-\frac{3x}{xy}$ $\frac{3y+4x}{xy}\div\frac{2y-3x}{xy}$ $\frac{3y+4x}{xy}*\frac{xy}{2y-3x}$ $\frac{3y+4x}{2y-3x}$
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