2026 EJC P2 Q1
2026 EJC P2 Q1
Junior College 2
4 marks
Do not use a calculator in answering this question.
Find the complex numbers \(z\) and \(w\) which satisfy the simultaneous equations
\[(3+2\mathrm i)z-3w=3-11\mathrm i\quad\text{and}\quad(1-\mathrm i)z-6\mathrm iw=10+8\mathrm i.\][4]
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Answer:\(z=-1-\mathrm i,\quad w=-\frac43+2\mathrm i\).
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