JOMO 5, Short 2

Algebra Level 3

x,yx, y and zz are non-negative integers where xy+3x+2y=2xy+3x+2y=2 and\text{and} yz+4y+3z=52yz+4y+3z=52. Find the value of x+y+z+xy+yz+xz+xyzx+y+z+xy+yz+xz+xyz

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