Answer
\[\left[ {\begin{array}{*{20}{c}}
{5x + y}&y \\
{6x + 2y}&{x + 3y}
\end{array}} \right]\]
Work Step by Step
\[\begin{gathered}
\left[ {\begin{array}{*{20}{c}}
{3x + y}&{ - 2y} \\
{x + 2y}&{3y}
\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}
{2x}&{3y} \\
{5x}&x
\end{array}} \right] \hfill \\
{\text{Add the corresponding elements}} \hfill \\
= \left[ {\begin{array}{*{20}{c}}
{3x + y + 2x}&{ - 2y + 3y} \\
{x + 2y + 5x}&{3y + x}
\end{array}} \right] \hfill \\
{\text{Simplify}} \hfill \\
= \left[ {\begin{array}{*{20}{c}}
{5x + y}&y \\
{6x + 2y}&{x + 3y}
\end{array}} \right] \hfill \\
\end{gathered} \]
