Question

Given \[2\begin{bmatrix}x&5\\7&y-3\end{bmatrix}+\begin{bmatrix}3&-4\\1&2\end{bmatrix}=\begin{bmatrix}7&6\\15&14\end{bmatrix}\], what is the value of \[x\]?

Options

• \[x=9\]

• \[x=3\]

• \[x=2\]

• \[x=4\]

Answer 1

Equating the corresponding top-left elements gives \[2x+3=7\]. Therefore, \[2x=7-3=4\], and \[x=\frac{4}{2}=2\].