Find Z1 and Z2 , given that:

(1 + i )Z1 + Z2 = 1 + i

4Z1 + (1 - i)Z2 = 4+ 2i

I tried to solve by letting Z1 = a + bi and Z2 = c + di and comparing coefficients with the Cartesian form on the right hand side of the equation. I cant get the answer as solving four unknowns seems a bit too much for me, is there any simpler way to solve this??