Elementary Algebra

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

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3: 47

Answer

$\frac{7x-14}{10}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $10$. Therefore, we create a common denominator using this LCM and obtain: $\frac{x+3}{5}+\frac{x-4}{2}$ =$\frac{2(x+3)+5(x-4)}{10}$ =$\frac{2x+6+5x-20}{10}$ =$\frac{7x-14}{10}$
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