Answer
$y=\dfrac{9x+47}{4}$
Work Step by Step
We first cross multiply. Then, using the properties of equality, in terms of $
y
,$ the given equation, $
\dfrac{x+3}{4}=\dfrac{y-5}{9}
,$ is equivalent to
\begin{array}{l}\require{cancel}
9(x+3)=4(y-5)
\\\\
9x+27=4y-20
\\\\
9x+27+20=4y
\\\\
9x+47=4y
\\\\
\dfrac{9x+47}{4}=y
\\\\
y=\dfrac{9x+47}{4}
.\end{array}
