Find $X$ and $Y$, if $2X+3Y=\begin{bmatrix}
2 & 3\\
4 & 0\\
\end{bmatrix}$ and $3X+2Y=\begin{bmatrix}
2 & -2\\
-1 & 5\\
\end{bmatrix}$
Answer & explanation
Correct answer: option 2
Adding and subtracting the two given equations we get two equations $X+Y=\begin{bmatrix}
4/5 & 1/5\\
3/5 & 1\\
\end{bmatrix}$ and $X-Y=\begin{bmatrix}
0 & -5\\
-5 & 5\\
\end{bmatrix}$. From here we can find $X$ and $Y$.