Answer
$u+v=(2,-5)$. Geometrically, see the figure.
Work Step by Step
The sum of the vectors $u=(1,3)$ and $v=(2,-2)$ is given as follows
\begin{align*}
u+v&=(4,-2)+(-2,-3)\\
&=(2,-5).
\end{align*}
Geometrically, see the following figure