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}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
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 - Page 102: 74
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