Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set - Page 393: 15



Work Step by Step

Adding the numerators and copying the denominator, the given expression, $ \dfrac{5x+7}{x+3}+\dfrac{x+11}{x+3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{5x+7+x+11}{x+3} \\\\= \dfrac{6x+18}{x+3} \\\\= \dfrac{6(x+3)}{x+3} \\\\= \dfrac{6(\cancel{x+3})}{\cancel{x+3}} \\\\= 6 .\end{array}
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