Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.3 - Applications of Linear Equations - 1.3 Exercises - Page 74: 26


expression; $\dfrac{8}{15}x+\dfrac{13}{2}$

Work Step by Step

Without an equal sign, the given is an $\text{ expression }.$ By combining like terms, the given expression, $ \dfrac{1}{3}x+\dfrac{1}{5}x-\dfrac{1}{2}+7 ,$ simplifies to \begin{array}{l}\require{cancel} \left( \dfrac{1}{3}x+\dfrac{1}{5}x \right)+\left(-\dfrac{1}{2}+7\right) \\\\= \left( \dfrac{5}{15}x+\dfrac{3}{15}x \right)+\left(-\dfrac{1}{2}+\dfrac{14}{2}\right) \\\\= \dfrac{8}{15}x+\dfrac{13}{2} .\end{array}
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