If `11^x = 3^y = 99^z`, then `1/x + 1/y + 1/z`

2x-3z + w = 1x-y + 2w = 1-3y + z + w = 1x + y + z = 1

The point of interesection of the line x = y = z with the plane x + 2y + 3z = 6 is (1,1,-1).

If 36/11 = 3 + 1/(x + 1/(y + 1/z)) , where x, y and z are natural numbers, then what is (x+y+z) equal to ?

If x!=y!=z and |x x^2 1+x^3 y y^2 1+y^3 z z^2 1+z^3|=0 , then prove that x y z=-1 .

If (11- 13x)/(x) + (11- 13 y)/(y) + (11- 13 z)/(z) =5, then what is the value of 1/x + 1/y + 1/z ?

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1