System of three equations x^2 + (xz) - y - z = 0

[Anita6363]

Find x, y, z solving all the three equations:

y^2 + (y*x) - z - x = 0z^2 + (z*y) - x - y = 0x^2 + (x*z) - y - z = 0I would be very grateful!

 

[Wilmer]

x = y = z = 1