(x+y-xy)/(x+y+2xy)=(y+z-2yz)/(y+z+3yz)=(z+x-3zx)/(

网友回答

设2/x=3/y=1/z为k
x=2k,y=3k,z=k
代入得1-k/1+2k=4-6k/4+9k=3-6k/3+8k
算出k得k=-1
x=-2,y=-3,z=-1
xyz=-6
======以下答案可供参考======
供参考答案1:
无解~~令2/x=3/y=1/z=1/t
则:x=2t,y=3t,z=t
代入方程分子分母同消去t得:
(5+6t)/(5+12t)=(4-6t)/(4+9t)=(3-6t)/(3+8t)
无解