Can you find the solution?

Algebra Level 5

The number of solutions (x, y, z) to the system of equations x+2y+4z=9x+2y+4z=9 4yz+2xz+xy=134yz+2xz+xy=13 xyz=3xyz=3 such that at least two of x, y, z are integers is NoteItsanoldKVPYquestionNote-\:\:Its\:\:an\:\:old\:\:KVPY\:\:question

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