解方程组﹛(x+y)⼀2+(x-y)⼀3=5⼀6,(x+y)⼀6-(x-y)⼀3=1⼀2

2025-01-03 04:01:22
推荐回答(1个)
回答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