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 2 - Equations, Inequalities, and Problem Solving - Test: Chapter 2: 9

Answer

$x=\dfrac{23}{3}$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{5}{6}(3x+1)=20 $, is \begin{array}{l}\require{cancel} \dfrac{5}{6}(3x)+\dfrac{5}{6}(1)=20 \\\\ 6\left( \dfrac{5}{6}(3x)+\dfrac{5}{6}(1) \right)=20(6) \\\\ 5(3x)+5(1)=120 \\\\ 15x+5=120 \\\\ 15x=120-5 \\\\ 15x=115 \\\\ x=\dfrac{115}{15} \\\\ x=\dfrac{\cancel{5}\cdot23}{\cancel{5}\cdot3} \\\\ x=\dfrac{23}{3} .\end{array}
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