已知x-4y-z=0,2x+y-8z=0,且xyz不全为0,求x:y:z的值?的值?求代数xy+yz+zx分之x²+2xy+z²的值?

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已知x-4y-z=0,2x+y-8z=0,且xyz不全为0,求x:y:z的值?的值?求代数xy+yz+zx分之x²+2xy+z²的值?
已知x-4y-z=0,2x+y-8z=0,且xyz不全为0,求x:y:z的值?的值?求代数xy+yz+zx分之x²+2xy+z²的值?

已知x-4y-z=0,2x+y-8z=0,且xyz不全为0,求x:y:z的值?的值?求代数xy+yz+zx分之x²+2xy+z²的值?
x-4y-z=0,(1)
2x+y-8z=0 (2)
(2)-(1)×2得:
9y=6z
y=2/3z
(1)+(2)×4得:
9x=33z
x=11/3z
所以:x:y:z=11/3:2/3:1=11:2:3
xy+yz+zx分之x²+2xy+z²
=(11²+44+9)/(22+6+33)
=174/61

分给的太少了吧 多给点分 帮你算。。。。