OCR Further Pure Core 2 2023 June — Question 2

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2023
SessionJune
TopicComplex Numbers Arithmetic
TypeSimultaneous equations with complex numbers

2 In this question you must show detailed reasoning.
  1. Write the complex number \(- 24 + 7 \mathrm { i }\) in modulus-argument form.
  2. Solve the simultaneous equations given below, giving your answers in cartesian form. $$\begin{aligned} i z + 3 w & = - 7 i
    - 6 z + 5 i w & = 3 + 13 i \end{aligned}$$