Solve simultaneously for $w$ and $z$: ${2w + z = 12\mathbf{i}}$ ${w^{*} + 2z = \frac{-13 + 4\mathbf{

Question

Solve simultaneously for $w$ and $z$: ${2w + z = 12\mathbf{i}}$ ${w^{*} + 2z = \frac{-13 + 4\mathbf{i}}{2 - \mathbf{i}}}$

Accepted Answer

$w = 2 + 5i, z = -4 + 2i$

Worked Example 3