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: 74

Answer

$t=\dfrac{rs}{q-r}$

Work Step by Step

Using the properties of equality, in terms of $ t $, the given expression, $ qt=r(s+t) $, is equivalent to \begin{array}{l} qt=rs+rt \\\\ qt-rt=rs \\\\ t(q-r)=rs \\\\ t=\dfrac{rs}{q-r} .\end{array}
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