Consider the matrix A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324). Solve AX=(511)AX = \begin{pmatrix} 5 \\ 11 \end{pmatrix}AX=(511) for X=(xy)X = \begin{pmatrix} x \\ y \end{pmatrix}X=(xy). What is x+yx+yx+y?
111
222
333
444