Hello can someone help with this task, I think I came halfway but I don t understand how to get the complete answer.
So this task says if $\frac{x+2}{3+2i}-\frac{y+3}{3-2i}= 1$ than what equals $5x-y$?
I have simplified the equation and I got $3(x-y) - 2i(x+y)= 13$, I also tried adding to both side $2i(x+y)$ and then square it but it did not help.
Edit: after going through the same task i got correct simplification which is $3(x-y) - 2i(x+y) = 16 + 10i$ and correct result because of the explanation in the comment.
Thank you!
Assuming your simplification is correct, all you have to do now is equate real and imaginary parts, so $$ 3(x-y) = 13 $$ and $$ x+y = 0 . $$
Now you have two equations in two unknowns to solve.