由X+Y+Z=6.5得x+y+z=13/2 ①
X/4+Y/4+Z/5=96/60 ②
Z/3+Y/4+X/5=108/60 ③
①去分母乘2得2x+2y+2z=13 ④
②去分母乘60得15x+15y+12z=96 ⑤
③去分母乘60得20z+15y+12x=108 ⑥
由④乘15得30x+30y+30z=195 ⑦
由⑤乘2得30x+30y+24z=192 ⑧
⑦-⑧:6z=3 z=1/2
⑤-⑥:3x-8z=-12 ⑨
把z=1/2代入⑨得3x-4=-12 x=-8/3
把z=1/2,x=-3/8代入①得-8/3+y+1/2=13/2
得y=26/3
所以x=-8/3,y=26/3,z=1/2