Question

Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i

Answer 1

i means (1,0) ???

Answer 2

move everything over to left side...
-3 - x + yi - 6i = 0

then -3 - x = 0 and (y - 6)i = 0

solve

Answer 3

-3 + yi = x + 6i
comparing real and imaginary numbers from both sides we find
x=-3 and yi=6i
i.e. y=6i/i=6
thus x= -3 and y=6 make the equation true