Question

xy分之x+y=6分之5 y+z分之yz=-2分之3 2(Z+x)+xz=0

Answer 1

(x+y)/xy=5/6

1/y+1/x=5/6

yz/(y+z)=-3/2

(y+z)/yz=-2/3

1/z+1/y=-2/3

2(Z+x)+xz=0

2(z+x)=-xz

(z+x)/xz=-1/2

1/x+1/z=-1/2

3式相加

2（1/x+1/y+1/z）=5/6-2/3-1/2=5/6-4/6-3/6=-1/3

1/x+1/y+1/z=-1/6

1/x=-/16+2/3=1/2

x=2

1/y=-1/6+1/2=1/3

y=3

1/z=-1/6-5/6=-1

z=-1