| Exam Board | Edexcel |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2014 |
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| Session | January |
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| Topic | Complex Numbers Arithmetic |
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| Type | Linear equations in z and z* |
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9. Given that \(z = x + \mathrm { i } y\), where \(x \in \mathbb { R } , y \in \mathbb { R }\), find the value of \(x\) and the value of \(y\) such that
$$( 3 - i ) z ^ { * } + 2 i z = 9 - i$$
where \(z ^ { * }\) is the complex conjugate of \(z\).