Answer
$y=\frac{x}{x+4}$
Work Step by Step
First we multiply both sides by $1-y$ and get $x(1-y)=4 y$.
$$
\begin{aligned}
x-x y & =4 y \\
-x y-4 y & =-x \\
y(-x-4) & =-x \\
y & =\frac{-x}{-x-4} \\
y & =\frac{x}{x+4} .
\end{aligned}
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Skill Refresher - Page 101: S4
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