Hi
Solve the equation for x and y: (x - iy) (2 + 3i) = x+2i / 1-i
LHS
=(2x+3y) + i(3x-2y)---------(i)
RHS
(x+2i)(1+i)/(1-i) ( 1+i)
=(x-2) / 2+ i(x+2)/2--------- (ii)
From (i) and (ii),
2x+3y=(x-2)/2 and 3x-2y =(x+2)/2
⇒3x+6y = -2 -----(iii) and 5x-4y=2--------(iv)
On solving (iii) and (iv), we get,
x= 2/21 and y = -8/21