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
Answer & explanation
Correct answer: option 3
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 $y=2$