Question

find x and y if x+1/1-i + y-1/1-i = i​

Answer 1

Answer:

your answer is -2

Step-by-step explanation:

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

taking L.C.M,

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

after simplification you get,

(x+y)+i(y-x-2)=2i

on comparing real & complex terms on both sides,

x+y=0

y-x-2=2

on solving above two equations,

=>y=2,

=>x=-2