已知2x-3y+z=0,3x-2y-6z=0,且xyz不等于0,求2x^+y^-z^分之x^+y^+z^的值

已知2x-3y+z=0,3x-2y-6z=0,且xyz不等于0,求2x^+y^-z^分之x^+y^+z^的值
已知2x-3y+z=0,3x-2y-6z=0,且xyz不等于0,求2x^+y^-z^分之x^+y^+z^的值

已知2x-3y+z=0,3x-2y-6z=0,且xyz不等于0,求2x^+y^-z^分之x^+y^+z^的值
2x-3y+z=0 (1)
3x-2y-6z=0 (1)
(1)×2-(2)×3
-5x+20z=0
z=x/4
(1)×6+(2)
15x-20y=0
y=3x/4
原式=(x²+9x²/16+x²/16)/(2x²+9x²/16-x²/16)
=(13x²/8)/(5x²/2)
=13/20

2x-3y+z=0 (1)
3x-2y-6z=0 (1)
(1)×2-(2)×3
-5x+20z=0
z=x/4
(1)×6+(2)
15x-20y=0
y=3x/4
原式=(x²+9x²/16+x²/16)/(2x²+9x²/16-x²/16)
=(13x²/8)/(5x²/2)
=13/20