Complex Numbers ( Find a & b ) sorry i'm unaware how to write this in the propper form i've only just signed up to this great website today! The question I've been asked is... if $z = x +i y $ find x and y when: $$\frac{3z}{1-i} + \frac{3z}{i} = \frac4{3-i} $$ Thanks everyone hope you can help and apologise for the presentation once more

I think you should start by multiplying the top and bottom of the fractions by the conjugates of the denominators (e.g. $1+i$ and $-i$ respectively in the left hand side). Then you can group the real and imaginary parts together on the left hand side, leaving $0$ on the right hand side. Then you can equate the real and imaginary parts of both sides (if the RHS $=0$, then the real part on the LHS is equal to $0$ and the imaginary part on the LHS is equal to $0$). Presto! You then have two simultaneous equations, which can be solved.