已知2x-3y-z=0,x+3y-14z=0,且x,y,z不全为0,求(4x^2-5xy+z^2)/(xy+yz+zx)的值

已知x-y/x+y=y+z/2(y-z)=z+x/3(z-x),求证8x+9y+5z=0THX.. 已知x,y,z 大于0,x+y+z=2,求证 xz/y(y+z)+zy/x(x+y)+yx/z(z+x)大于等于2/3 已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z 已知x+y+z=0求证x*x*x+y*y*y+z*z*z=3xyz 已知z、y、z同时满足x+3y-5z=0,2x-y-3z=0,求x:y:z 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^+3xy/y^2+z^ 已知：x+2y-3z=0,3x-2y+z=0,则x：y：z= 已知{x-3y+2z=0 3x-3y-4z+0,则x:y:z=? 已知2x+5y+4z=15.7x+y+3z=14 则x+y+z=? 已知 3x-y+2z=0 2x+y-3z=0,求x :y :z. 已知x-2y+3z=0,x-3y+4z=0,则x:y:z= 已知2x-y-z=0,3x+4y-2z=0,则x：y：z=? 已知（1）X-Y+Z=0 (2)X+2Y-3Z=0 求X:Y:Z 已知x+4y-3z=0,4x-5y+2z=0,则x：y：z 已知｛2x-y-z=0,3x-9y+z=0求1,x:y:z 已知{x-5y+2z=0 3x-5y-4z=0,求x：y:z 已知｛X-Y+Z=0,X+2Y-3Z=0求X：Y：Z的值