(x+y)/2+(x-y)/3=1,则3(x+y)+2(x-y)=6①
(x+y)-5(x-y)=2②
①×5＋②×2,得15(x+y)+2(x+y)=30+4,解得x+y=2③
代入①,解得x-y=0④
③+④,解得x=1,y=1