Answer
$x=-7
\text{ and }
y=-3
$
Work Step by Step
Equating the real parts and equating the imaginary parts, the given equation, $
-14-3i=2x+yi
,$ implies
\begin{align*}
-14&=2x
\\\\&\text{ and }\\\\
-3&=y
.\end{align*}
Solving each equation results to
\begin{align*}
-14&=2x
\\
-\dfrac{14}{2}&=\dfrac{2x}{2}
\\
-7&=x
\\\\&\text{ and }\\\\
-3&=y
.\end{align*}
Hence, $
x=-7
\text{ and }
y=-3
$.
