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

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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!
 
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x = y = z = 1
 

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