提示：先求1/x,1/y,1/z,再求x,y,z

5(1/x+1/z)=2/3变形为1/x+1/z=2/15
1/x+1/y=1/6 (1)
1/y+1/z=1/10(2)
1/x+1/z=2/15(3)
[(1)+(2)+(3)]/2
1/x+1/y+1/z=1/5(4)
(4)-(2)
1/x=1/10 x=10
(4)-(3)
1/y=1/15y=15
(4)-(1)
1/z=1/30 z=30
x=10 y=15 z=30