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:
Answer & explanation
Correct answer: option 1
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 $3$.