I need to solve the Gaussian linear congruence (2 + i)x = 3 mod (4 - i). I tried working it out and thought I had it correct, and then my teacher sent out the hint:
4 - i = (1 - i)(2 + i) + 1. This leads to x congruent to 1 + 2i modulo (4 - i).
I'm not sure how this ties in to the problem. I really don't want a step-by-step solution and more of an explanation of where the hint is coming from so I can try to use it.