If $\begin{bmatrix}1&3\\4&5\end{bmatrix}\begin{bmatrix}x\\2\end{bmatrix}=\begin{bmatrix}5\\6\end{bmatrix}$, then value of x is:

-1

The correct answer is Option (3) → -1

$\begin{bmatrix}1&3\\4&5\end{bmatrix}\begin{bmatrix}x\\2\end{bmatrix}=\begin{bmatrix}5\\6\end{bmatrix}$

$\begin{bmatrix}x+6\\4x+10\end{bmatrix}=\begin{bmatrix}5\\6\end{bmatrix}$

$⇒x+6=5$

$⇒x=-1$