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2008 PJC P2 Q2

2008 PJC P2 Q2

3 marks
Prelims
  1. Solve the simultaneous equations
    \(4\mathbf{i}z+3w=7+5\mathbf{i}\),
    \(2z-\left( 1+\mathbf{i} \right)w=10-\mathbf{i}\),
    giving \(z\) and \(w\) in the form \(a+\mathbf{i}b\), where \(a\) and \(b\) are real. [3]

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Answer:\(\text{(b)}\ w=-5-5\mathbf{i},\ z=5-\dfrac{11}{2}\mathbf{i}\)

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