If $x\begin{bmatrix}3\\ 4\\ \end{bmatrix}$+$y\begin{bmatrix}2\\ 1\\ \end{bmatrix}$=$\begin{bmatrix}10\\ 10\\ \end{bmatrix}$. Then find the values of x and y

x=2,y=2

The correct answer is Option (3) → $x=2,y=2$

$x\begin{bmatrix}3\\ 4\end{bmatrix}+y\begin{bmatrix}2\\ 1 \end{bmatrix}=\begin{bmatrix}10\\ 10\end{bmatrix}$

$\begin{bmatrix}3x+2y\\ 4x+y\end{bmatrix}=\begin{bmatrix}10\\ 10\end{bmatrix}$

$⇒3x+2y=10$  ...(1)

$4x+y=10$   ...(2)

Solving (1) and (2),

$⇒5x=10$

$⇒x=2$ and $y=2$