已知4x-3y-6z=0,x+2y-7z=0,xyz不等于0,求xy+2yz+xz分之2x^2+3y^2+6z^2
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![已知4x-3y-6z=0,x+2y-7z=0,xyz不等于0,求xy+2yz+xz分之2x^2+3y^2+6z^2](/uploads/image/z/1612143-63-3.jpg?t=%E5%B7%B2%E7%9F%A54x-3y-6z%3D0%2Cx%2B2y-7z%3D0%2Cxyz%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E6%B1%82xy%2B2yz%2Bxz%E5%88%86%E4%B9%8B2x%5E2%2B3y%5E2%2B6z%5E2)
已知4x-3y-6z=0,x+2y-7z=0,xyz不等于0,求xy+2yz+xz分之2x^2+3y^2+6z^2
已知4x-3y-6z=0,x+2y-7z=0,xyz不等于0,求xy+2yz+xz分之2x^2+3y^2+6z^2
已知4x-3y-6z=0,x+2y-7z=0,xyz不等于0,求xy+2yz+xz分之2x^2+3y^2+6z^2
4x-3y-6z=0, (1)
x+2y-7z=0, (2)
(2)×4-(1)得:
11y=22z
y=2z
代入(2)得:
x=7z-4z
x=3z
xy+2yz+xz分之2x^2+3y^2+6z^2
=(18z²+12z²+6z²)/(6z²+4z²+3z²)
=36/13
36/13