1.
The number of solutions (x,y,z)(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,zx, y, z are integers is