解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)

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解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)

解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)
解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)

解方程组(x+2)(y-1)=(x-2)(y+2)和(x-12)(y-14)=(x+12)(y-2)
(x+2)(y-1)=(x-2)(y+2)
(x-12)(y-14)=(x+12)(y-2)
xy+2y-x-2=xy-2y+2x-4
xy-12y-14x+168=xy+12y-2x-24
3x-4y-2=0
12x+24y-192=0
3x-4y-2=0
x+2y-16=0
{x=34/5
{y23/5

(x+2)(y-1)=(x+2)(y+2) ①
(x-12)(y-14)=(x+12)(y-2) ②
将①打开,得
xy-x+2y-2=xy+2x+2y+4
-x+2y-2-2x-2y-4=0
-3x-6=0
x=-2
将x=-2代入②中,得
-14(y-14)=10(y-2)
-14y+196=10y-20
-24y=-216
y=9

原方程组的解为x=-2,y=9