how would i go about solving this eqation??

Question

8+(3x+y)i=2x-4i

find the values of "x" and "y" that make the equation true.

("i"=the square root of -1)


how would i be able to solve this problem, there are two variables and only one equation


thank you :)

Answer 1

Two complex numbers are equal when both the real parts and the imaginary parts are equal.

So they are equal when:
8 = 2x
and
3x+y = 4

You have 2 equations and 2 unknowns. I'll leave solving the rest of this to you. It should be easy from there.