(x+y)/2+(x-y)/3=5/6,①(x+y)/6-(x-y)/3=1/2 ②①+②,得(x+y)/2+(x+y)/6=5/6+1/2,则2(x+y)/3=4/3,则x+y=2 ③代入①,得2/2+(x-y)/3=5/6,则(x-y)/3=-1/6,则x-y=-1/2 ④③+④,得2x=3/2,则x=3/4 代入③,得3/4+y=2,则y=5/4