SOLUTION: kx+y+z=1 x+ky+z=1 x+y+kz=1 find the value of k

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: kx+y+z=1 x+ky+z=1 x+y+kz=1 find the value of k      Log On


   



Question 758466: kx+y+z=1
x+ky+z=1
x+y+kz=1
find
the value of k

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
kx+y+z=1
kx = 1-y-z
k = %28%281-y-z%29%29%2Fx
:
x+ky+z=1
ky = 1-x-z
k = %28%281-x-z%29%29%2Fy
:
x+y+kz=1
kz = 1-x-y
k = %28%281-x-y%29%29%2Fz