已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy/y^2+z^2

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已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy/y^2+z^2
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已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy/y^2+z^2
已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy/y^2+z^2

已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy/y^2+z^2
28x-42y=x+3y
27x-45y=0
3x-5y=0
3x=5y
x=5y/3
x^2+3xy/y^2+z^2
=x^2+3xy/y^2+4x^2+9y^2-12xy
=x^2+3xy/4x^2+10y^2-12xy
=(25y^2/9+5y^2)/(100y^2/9+10y^2-20y^2)
=(70y^2/9)/(10y^2/9)
=7