解方程组: ﹛x(y+1)+2(y+1)=(y﹣1)x-5(y﹣1) 瘧 ﹛x(y+4)=-y(8﹣x) 眧

x(y+1)+2(y+1)=(y﹣1)x-5(y﹣1) 瘧 x(y+4)=-y(8﹣x) 眧
2024-12-16 12:48:13
推荐回答(3个)
回答1:

xy +x +2y +2 = xy -x -5y +5
2x +7y =3

xy + 4 = -8y +xy
8y = -4
所以y = -1/2
代入(1)得
x = 13/4

所以 x = 13/4
y = -1/2
不清楚再问

回答2:

解 直接 展开 得:
xy+x+2y+2=xy-x-5y+5
xy+4x=-8y+xy
整理:
2x+7y-3=0..............(1)
4x+8y=0.................(2)
2×(1)—(2) 消去x ,得
y = 1
y=1 代入(1)或(2)得
x = -2
∴ x = -2 , y = 1 为原方程组的解!

回答3:

x(y+1)+2(y+1)=(y-1)x-5(y-1)
xy+3y+2=xy-x-5y+5
3y+5y+2-2=-x-5y+5y+5-2
8y=-x+3