If $\left[\begin{array}{cc}x+z & z \\ 2 x-y & 2\end{array}\right]=\left[\begin{array}{cc}3 & -1 \\ 5 & 2\end{array}\right]$ then the value of y is:

3

The correct answer is Option (1) → 3

$\begin{bmatrix}x+z & z \\ 2x-y & 2\end{bmatrix} = \begin{bmatrix}3 & -1 \\ 5 & 2\end{bmatrix}$

$z=-1$

$x+z=3 \Rightarrow x-1=3 \Rightarrow x=4$

$2x-y=5 \Rightarrow 8-y=5 \Rightarrow y=3$

The value of $y$ is $3$.