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 $y$

$x=1,y=2$

The correct answer is Option (4) → $x=1,y=2$

$\begin{bmatrix} 2 & 4\\ x+y & 7\\ \end{bmatrix}=\begin{bmatrix} 4x-y & 2x+y\\ 3 & 5x+y\end{bmatrix}$

$⇒5x+y=7$  ...(1)

$⇒x+y=3$   ...(2)

Solving (1) and (2),

$x=1$ and $y=2$