2023 EJC P2 Q1
2023 EJC P2 Q1
4 marks
Prelims
The complex numbers \(z\) and \(w\) satisfy the following equations.
\(4z+5\,\mathbf{i}w=7\)
\(\left( 1-\mathbf{i} \right)z+8w=30\)
Find \(z\) and \(w\), giving your answers in the form \(a+\mathbf{i}\,b\) where \(~a\) and \(b\) are real numbers.[4]
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Answer:\(w=4+\mathbf{i}\), \(z=3-5\,\mathbf{i}\)
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