question_answer

Let\[\alpha =\left( x+4y \right)\overrightarrow{a}\text{ +}\left( 2x+y+1 \right)\overrightarrow{b}\text{ }\]and \[\text{ }\beta =\left( y-2x+2 \right)\overrightarrow{a}+\left( 2x-3y-1 \right)\overrightarrow{b},\] where \[\overrightarrow{a}\] and \[\overrightarrow{b}\] are non-zero, non-collinear vectors. If\[3\alpha =2\beta ,\], then

A) \[x=2,y=1~\]   

B)  \[x=2,y=1~\]

C)  \[x=-1,y=2~\] 

D)  \[x\text{ }=\text{ }2,\text{ }y\text{ }=-1\]