以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值
问题描述:
以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值
答
由xy/(x+y)=2,∴xy=2(x+y)
∵(-x+2xy-y)/(3x-5xy+3y)
=(-x-y+4x+4y)/3x+3y-10x-10y)
=(3x+3y)/(-7x-7y)
=-3/7.