{x+ y)/2-(x-y)/3=2,①4(x +y)-5(x-y)=2。②①*15-②,得7(x+y)/2=28,x+y=8,③代入②,32-5(x-y)=2,30=5(x-y),x-y=6.④(③+④)/2,得x=7,代入③,得y=1.