Answer
$$[x]_S=\left[ \begin {array}{ccc} 9\\ 3\end {array} \right].$$
Work Step by Step
Since we have
$$x= 2 \left(4,2\right)+ (1,-1)=\left(9,3\right).$$
then we can write $x$ relative to the standard basis of $R^2$ as follows
$$x= \left(9,3\right)=9(1,0)+3(0,1) .$$
Thus, the coordinates matrix of $x$ in $R^2$ relative to the
standard basis is
$$[x]_S=\left[ \begin {array}{ccc} 9\\ 3\end {array} \right].$$