Question

- 12 + 18i + 8x = -9 – 17i + 13yi

Answer 1

In order to find the values of x and y, let's compare the real part and the complex part in each side of the equation:

`\begin{gathered} -12+18i+8x=-9-17i+13yi\\ \\ (8x-12)+(18)i=(-9)+(13y-17)i\\ \\ \begin{cases}8x-12={-9\rightarrow8x=3\rightarrow x=(3)/(8)} \\ 18={13y-17\rightarrow13y=35\rightarrow y=(35)/(13)}\end{cases} \end{gathered}`

Therefore the answer is x = 3/8 and y = 35/13.