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:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → -1
$\begin{bmatrix}1&3\\4&5\end{bmatrix}\begin{bmatrix}x\\2\end{bmatrix}=\begin{bmatrix}5\\6\end{bmatrix}$
$\begin{bmatrix}x+6\\4x+10\end{bmatrix}=\begin{bmatrix}5\\6\end{bmatrix}$
$⇒x+6=5$
$⇒x=-1$