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 - Review Exercises: Chapter 2: 21

Answer

$x=16$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{1}{4}x-\dfrac{1}{8}x=3-\dfrac{1}{16}x $, is \begin{array}{l}\require{cancel} \dfrac{1}{4}x-\dfrac{1}{8}x+\dfrac{1}{16}x=3 \\\\ \dfrac{4}{16}x-\dfrac{2}{16}x+\dfrac{1}{16}x=3 \\\\ \dfrac{4-2+1}{16}x=3 \\\\ \dfrac{3}{16}x=3 \\\\ x=3\cdot\dfrac{16}{3} \\\\ x=\cancel{3}\cdot\dfrac{16}{\cancel{3}} \\\\ x=16 .\end{array}
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