Complex Numbers - Solving Simultaneous Complex Equations

Complex Numbers - Solving Simultaneous Complex Equations

Solve simultaneously for \(w\) and \(z\):

\({2w + z = 12\mathrm{i}}\)

\({w^{*} + 2z = \frac{-13 + 4\mathrm{i}}{2 - \mathrm{i}}}\)

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Answer:\(w=2+5\mathbf{i}\) and \(z=-4+2\mathbf{i}\)

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