以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值

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以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值

以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值
以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值

以知x+y分之xy=2,求代数式-x+2xy-y分之3x-5xy+3y的值
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.

xy/(x+y)=2
1/x+1/y=1/2
(-x+2xy-y)/(3x-5xy+3y)
=(-1/y+2-1/x)/(3/y-5+3/x)
=(-1/2+2)/(3*1/2-5)=-3/7

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

是:-3分之7
分子分母同除以xy既得

x+y分之xy=2
xy=2(x+y)
-x+2xy-y分之3x-5xy+3y
=-(x+y)+2xy分之3(x+y)-5xy
=-(x+y)+4(x+y)分之3(x+y)-10(x+y)
=3(x+y)分之-7(x+y)
=-3分之7

由xy/x+y=2,得xy=2(x+y)。求3x-5xy+3y/-x+2xy-y=3x+3y-10(x+y)/-x-y+4(x+y)=-7/3

由XY/(X+Y)=2得X+Y=XY/2
(-x+2xy-y)/3x-5xy+3y=[-(X+Y)+2XY]/[3(X+Y)-5XY]
=(-XY/2+2XY)/[3*XY/2-5XY]
=(3/2 XY)/(-7/2XY)
=-3/7