Elementary Algebra

Published by Cengage Learning

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4 - Page 76: 91

Answer

$= \frac{3y - 4x - 5}{xy}$

Work Step by Step

1) Multiply a fraction with the other denominator to obtain a common denominator between the three fractions. In this case, we multiply the first fraction by $y/y$, the second fraction by $x/x$, and the third fraction we simply leave alone as we already have a common denominator of $xy$ 2) Subtract $= \frac{3}{x} - \frac{4}{y}- \frac{5}{xy}$ $= \frac{3y}{xy} - \frac{4x}{xy}- \frac{5}{xy}$ $= \frac{3y - 4x - 5}{xy}$

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