Question

Find the real value of x and y.
(1-i) x+(1+i) y=1-3i

Answer 1

Answer:

opening the brackets, we get

x - ix + y + iy = 1-i3

(x+y) + i (-x+y) = 1 + i(-3)

by comparing real parts and imaginary parts, we get

x + y = 1     ..............(m) &

-x + y = -3 ⇒ x - y = 3 ..............(n)

solving simultaneous equations (m)&(n) we have

x = 2 & y = -1