Do not use a calculator in answering this question. Find the complex numbers $w$ and $z$ which s

Question

Do not use a calculator in answering this question. Find the complex numbers $w$ and $z$ which satisfy the following simultaneous equations. $2w+\mathbf{i}\,z=1$ ${{w}^{*}}+2z=7+11\,\mathbf{i}$ Give your answers in the form $a+b\mathbf{i}$, where $a$ and $b$ are real numbers. [5]

Accepted Answer

$z=2+5\mathbf{i}$

2024 MI PRU2 P2 Q1

2024 MI PRU2 P2 Q1