解方程组﹛﹙x+2﹚²-﹙y-3﹚²=﹙x+y﹚﹙x-y﹚ x-3y=2
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![解方程组﹛﹙x+2﹚²-﹙y-3﹚²=﹙x+y﹚﹙x-y﹚ x-3y=2](/uploads/image/z/2518051-67-1.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%E7%BB%84%EF%B9%9B%EF%B9%99x%EF%BC%8B2%EF%B9%9A%26%23178%3B%EF%BC%8D%EF%B9%99y%EF%BC%8D3%EF%B9%9A%26%23178%3B%EF%BC%9D%EF%B9%99x%EF%BC%8By%EF%B9%9A%EF%B9%99x%EF%BC%8Dy%EF%B9%9A+x%EF%BC%8D3y%EF%BC%9D2)
解方程组﹛﹙x+2﹚²-﹙y-3﹚²=﹙x+y﹚﹙x-y﹚ x-3y=2
解方程组﹛﹙x+2﹚²-﹙y-3﹚²=﹙x+y﹚﹙x-y﹚ x-3y=2
解方程组﹛﹙x+2﹚²-﹙y-3﹚²=﹙x+y﹚﹙x-y﹚ x-3y=2
(x+2)² -(y-3)²=(x+y)(x-y)
整理得
x^2+4x+4-y^2+6y-9=x^2-y^2
即4x+6y-5=0 (1)
x-3y=2 (2)
(2)×2+(1)得
6x=9
x=3/2,y=-1/6