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: 50

Answer

$n=\dfrac{m+5x-19}{5}$

Work Step by Step

Using the properties of equality, in terms of $ n $, the given equation, $ m=19-5(x-n) $, is equivalent to \begin{array}{l} m=19-5x+5n \\\\ -5n=19-5x-m \\\\ n=\dfrac{19-5x-m}{-5} \\\\ n=-\dfrac{19-5x-m}{5} \\\\ n=\dfrac{-19+5x+m}{5} \\\\ n=\dfrac{m+5x-19}{5} .\end{array}
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