Answer
$r=\dfrac{E-IR}{I}$
Work Step by Step
Using the properties of equality, in terms of $
r
,$ the given equation, $
I=\dfrac{E}{R+r}
,$ is equivalent to
\begin{array}{l}
I(R+r)=E
\\\\
IR+Ir=E
\\\\
Ir=E-IR
\\\\
r=\dfrac{E-IR}{I}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Section 6.6 - Rational Equations and Problem Solving - Exercise Set - Page 387: 14
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