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 - 2.3 Formulas - 2.3 Exercise Set: 36

Answer

$n=\dfrac{9(M-18)}{5}$

Work Step by Step

Using the properties of equality, in terms of $ n $, the given equation, $ M=\dfrac{5}{9}n+18 $, is equivalent to \begin{array}{l} M-18=\dfrac{5}{9}n \\\\ \left(\dfrac{9}{5} \right)(M-18)=\left( \dfrac{5}{9}n \right)\left(\dfrac{9}{5} \right) \\\\ \\\\ n=\dfrac{9(M-18)}{5} .\end{array}
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