Question

if z= x+yi, then when the equation z(1+3i) -4i=z is solved what are tthe value of x and y respectively .
a,3,1 b,0,4 c,4over3 ,0 d,4,3

Answer 1

Answer:

x+iy(1+3i)-4i=x+iy

x+3xi+iy-3y-4i=x+yi

x-3y+i(3x+y+4)=x+yi

-3y+i(3x-4)=0

-3y=0=>y=0

3x-4=0==>x=4/3