X+Y+Z=100 ,X+30Y+60Z=1000怎么算出XYZ如题XYZ都是正整数

(x+y-z)(x-y+z)= x+y+z=30 120x=600z 100y=400z 6x+5y+3z=100 x+y+z=30 求 x y X+Y+Z=? x/y=(x+z)/(y+z)y/z=(x+y)/(x+z) 已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=? 14x+4y+z=200,x+y+z=100求解x,y,z (y+z)/x=(z+x)/y=(x+y)/z求x+y-z/x+y+z的值 x+y+z=12 x-y+z=2 x-z+y+a=90 x+y+a+z=100,求x y z a 已知x、y、z是正整数,求解下列联立方程 （x-y)(y-z)(z+x)=-90 (x-y)(y+z)(z-x)=42 (x+y)(y-z)(z-x)=-60 fangchengzu:X+Z=Y 7Z=X+Y+Z X+Y+Z=14 z+=x>y?++x: 用行列式的性质证明：y+z z+x x+y x y z x+y y+z z+x =2 z x y z+x x+y y+z y z x 这个怎么证? x=y; y=z; z=x/y 解方程 Y=X+Z Y-Z=2 100Z+10Y+X-(100X+10Y+Z)=99 Y=X+ZY-Z=2100Z+10Y+X-(100X+10Y+Z)=99 (x-2y+z)(x+y-2z)分之（y-x)(z-x) + (x+y-2z)(y+z-2x)分之(z-y)(x-y) + (y+z-2z)(x-2y+z)分之（x-z)(y-z)=?第三部分那个是 （y+z-2x)(x-2y+z)分之（x-z)(y-z) z=x^(y/z) 偏导数 已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z