All real # x and y that satisfy

Question

-2x-1+2yi=4x-5i
first step is place constant complex # on one side
-2x+2yi-4x=1+5i
-6x+2yi=1+5i
now I'm lost

Answer 1

for two complex numbers to be equal, the real and imaginary parts must be equal. So, we need

-2x-1 = 4x
2y = -5

That should help, eh?

Answer 2

So how did you decided the 1 went with the x's and not the other equation.