Question 132966
5x+(y-3)i=x-4+6yi
==> 5x - x + i(y - 3 - 6y) = -4 [ collecting the x and y terms to one side]
==> 4x + i(-5y - 3) = -4
Equating the real and imaginary parts, we get,
4x = -4
==> x = -1  and
- 5y - 3 = 0
==> 5y = -3
==> y = -3/5

good luck!!!