解方程组﹛(x+y)/2+(x-y)/3=5/6,(x+y)/6-(x-y)/3=1/2

Question

如题所述

Answer 1

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