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:
[tex]\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=\frac{3}{8}} \\ 18={13y-17\rightarrow13y=35\rightarrow y=\frac{35}{13}}\end{cases} \end{gathered}[/tex]
Therefore the answer is x = 3/8 and y = 35/13.
