Linear Systems & Matrices · Hard problem

Solve for $x, y, z, w$: $2\begin{bmatrix} x & y \\ z & w \end{bmatrix} + \begin{bmatrix} 1 & -2 \\ 3 & 0 \end{bmatrix} = \begin{bmatrix} 5 & 4 \\ -1 & 8 \end{bmatrix}$.