If ` x /(y+z) = y/(z + x) = z /(x + y)` , then find the value of each fraction.

If x/(3x-y-z) =y/(3y-z-x) =z/(3z-x-y) and x+y+z != 0 , then show that the value of each raio is equal to 1.

If (x)/(y+z-x)=(y)/(z+x-y)=(z)/(x+y-z) and x+y+z=0 then show that each ratio is equal to .

If x/(3x-y-z)=(y)/(3y-z-x)=(z)/(3z-x-y) and x+y+z=0 then show that the value of each of the ratio is equal to 1.

If [[x-y-z] , [-y+z] , [z]] = [[0], [5] , [3]] then find the values of x, y and z

If x+y+z=1,x y+y z+z x=-1 and x y z=-1, find the value of x^3+y^3+z^3dot