Complex Numbers - Solving Simultaneous Complex Equations

Complex Numbers - Solving Simultaneous Complex Equations

The two complex numbers \(w\) and \(z\) are such that:

\({(1 - \mathrm{i})w + z = 6 + 2\mathrm{i}}\)

\({w - 3\mathrm{i}z = \frac{20}{2 + \mathrm{i}}}\)

Find \(w\).

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Answer:\(w=2+2\mathbf{i}\)

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