If $\begin{bmatrix} 2 & 4\\ x+y & 7\\ \end{bmatrix}=\begin{bmatrix} 4x-y & 2x+y\\ 3 & 5x+y \\ \end{bmatrix}$. Find the values of $x$ and $y$

$x=1,y=3$ $x=2,y=2$ $x=3,y=3$ $x=1,y=2$

$x=1,y=2$

Since the given two matrices are equal they are entry wise equal. So we get four equations from this. Solving any two of these would give values of $x$ and $y$.