Question

find the value of x and y : ( i) ( x+ iy) ( 1 + i) = 1 -i​

Answer 1

$(x + iy)(1 + i) = 1 - i \\ (x - y) + i(x + y) = 1 - i \\ x + y = - 1 ........(1) \\ x - y = 1...........(2) \\ adding \: equation \: (1) \: and(2) \\ 2x = 0 \\ x = 0 \: and \: \: \: y = - 1$