Question 1057894
Multiplying out the terms gives:


6 + 8i - 2x + 2yi = x + yi


Separating the real and imaginary parts of that equation gives the following two equations:


6 - 2x = x

8i + 2yi = yi


Solving the first for x gives:


3x = 6


x = 6/3


x = 2


Solving the second for y gives:


8i + 2yi = yi


8i = yi - 2yi


-yi = 8i


y = -8


Solution: x = 2, y = -8