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已知三个数x,y,z满足x+y分之xy=3,xy+yz+zx分之xyz=2,则z的值为
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已知三个数x,y,z满足x+y分之xy=3,xy+yz+zx分之xyz=2,则z的值为
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x+y分之xy=3,xy=3x+3y
xy+yz+zx分之xyz=2,xyz=2xy+2yz+2xz
3xz+3yz=2xy+2yz+2xz
z(x+y)=2xy
z=2xy/(x+y)=6(x+y)/(x+y)=6
xy+yz+zx分之xyz=2,xyz=2xy+2yz+2xz
3xz+3yz=2xy+2yz+2xz
z(x+y)=2xy
z=2xy/(x+y)=6(x+y)/(x+y)=6
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