Given (1001)(xy)=(34)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}(1001)(xy)=(34), what is x+yx+yx+y?
3
4
7
1