已知x、y满足方程组x-y=3,3x-8y=14,先将x²+xy/x-y ÷ xy/x-y化简,再求值.

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已知x、y满足方程组x-y=3,3x-8y=14,先将x²+xy/x-y ÷ xy/x-y化简,再求值.
已知x、y满足方程组x-y=3,3x-8y=14,先将x²+xy/x-y ÷ xy/x-y化简,再求值.

已知x、y满足方程组x-y=3,3x-8y=14,先将x²+xy/x-y ÷ xy/x-y化简,再求值.
(x²+xy)/(x-y) ÷ xy/(x-y)
=x(x+y)/(x-y) × (x-y)/(xy)
=(x+y)/y
解方程组x-y=3,3x-8y=14
x=2,y=-1
原式=(2-1)/(-1)=-1

由x-y=3,3x-8y=14得x=2,y=-1
(x²+xy)/(x-y) ÷ xy/(x-y)=(x+y)/y=1/(-1)=-1