{2x−5y=−3,−4x y=−3; A. {x=−1y=1

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{2x−5y=−3,−4x y=−3; A. {x=−1y=1
已知xy/x+y=3,求代数式2x-5xy+2y/x-3xy+y

xy/x+y=3则xy=3(x+y)2x-5xy+2y/x-3xy+y=2(x+y)-5xy/(x+y)-3xy=2(x+y)-15(x+y)/(x+y)-9(x+y)=-13(x+y)/-8(x+y

已知x+y=5,xy=2,求5x+4y-3x-2y+xy的值

5x+4y-3x-2y+xy=2x+2y+xy=2(x+y)+xy因:x+y=5,xy=2所以原式=2X5+2=12

x*-2xy+3y*=9 4x*-5xy+6y*=30

Solution:x^2-2xy+3y^2=9(1)4x^2-5xy+6y^2=30(2)Eq(1)*5-Eq(2)*2,wehavex^2-y^2=5(3)Eq(2)-Eq(1),wegetx^2+

(-3x^y+2xy)-( )=4x^+xy

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

已知X+Y=2XY,求4X-5XY+4Y 除以X+XY+Y 的值

原式=[4(x+y)-2xy]分之[(x+y)+xy]=[4(3xy)-2xy]分之[(3xy)+xy]=10xy分之2xy=5分之1

已知x+y分之xy=2,那么3x-5xy+3y分之3xy-x-y=

xy/(x+y)=2∴xy=2(x+y)(3xy-x-y)/(3x-5xy+3y)=[6(x+y)-x-y]/[3x+3y-10(x+y)]=5(x+y)/[-7(x+y)]=-5/7

已知X+Y分之XY=2,求-X+3XY-Y分之3X+5XY+3Y

因为X+Y分之XY=2,所以XY=2(X+Y)代入后面的分子式得:13(X+Y)/5(X+Y)=13/5

xy=-2,x+y=3,求代数式(4xy+12y)+[7x-(3xy+4y-x)]

(4xy+12y)+[7x-(3xy+4y-x)]=4xy+12y+7x-3xy-4y+x=xy+8x+8y=xy+8(x+y)=(-2)+8*3=-2+24=22

5xy平方-2x平方y+[3xy平方-(4xy-2x平方y-2x平方y)],其中x=-2,y=-1求值

5xy平方-2x平方y+[3xy平方-(4xy-2x平方y-2x平方y)]=5xy平方-2x平方y+[3xy平方-4xy+2x平方y+2x平方y)]=5xy平方-2x平方y+3xy平方-4xy+2x平

已知y=3xy+x,求代数式2x+3xy−2yx−2xy−y

因为y=3xy+x,所以x-y=-3xy,当x-y=-3xy时,2x+3xy−2yx−2xy−y=2(x−y)+3xy(x−y)−2xy=2(−3xy)+3xy−3xy−2xy=35.

已知1x-1y=10,则3y−6xy−3xy+2xy−x的值是(  )

由已知1x-1y=10,可知:y-x=10xy,∴3y−6xy−3xy+2xy−x=3(y−x)−6xyy−x+2xy=3×10xy−6xy10xy+2xy=24xy12xy=2.故选B.

已知x-y=4xy,则2x+3xy-2yx-2xy-y

∵x-y=4xy,∴2x+3xy-2yx-2xy-y=2(x-y)+3xyx-y-2xy=8xy+3xy4xy-2xy=112.故答案为:112.

x+y=8,xy=-2,求(5xy+4x+7y)+(6x-3xy)-(4xy-3y)的值

(5xy+4x+7y)+(6x-3xy)-(4xy-3y)=5xy+4x+7y+6x-3xy-4xy+3y=(5xy-3xy-4xy)+(4x+6x)+(7y+3y)=-2xy+10x+10y=-2x

已知xy/x+y=1/2,则代数式3x-5xy+3y/-x+3xy-y=

因为xy/(x+y)=1/2所以x+y=2xy原式=3(x+y)-5xy/(-x-y+3xy)=3*2xy-5xy/(-2xy+3xy)=xy/xy=1

已知x+y=5,xy=2,求5x+4y-3y-2y+xy的值

5x+4y-3x-2y+xy=2x+2y+xy=2(x+y)+xy因:x+y=5,xy=2所以原式=2X5+2=12你抄错了应该是5x+4y-3x-2y+xy

已知xy/x+y=2,求代数式3x-5xy+3y/-x+2xy-y的值

xy/(x+y)=2xy=2(x+y)(3x-5xy+3y)/(-x+2xy-y)=[3(x+y)-5xy]/[2xy-(x+y)]=[3(x+y)-10(x+y)]/[4(x+y)-(x+y)]=-

若1/x-1/y=3,求5x+2xy-5y/x-4xy-y的值

得y-x=3xyx-y=-3xy原式=-15xy+2xy/-3xy-4xy=-13/-7=13/7

若x+y-5xy=0,求(2x-3xy+2y)/(x+2xy+y)的值

x+y=5xy(2x-3xy+2y)/(x+2xy+y)=[2(x+y)-3xy]/[(x+y)+2xy]=(2×5xy-3xy)/(5xy+2xy)=7xy/7xy=1再问:若x+1/x=3,求(x

[-(x-y)^2/xy]^-4*(y^2-xy/x)^3*(x^4/y^10)÷(xy-y^2/x)^-5=-y(y-

[-(x-y)^2/xy]^-4*(y^2-xy/x)^3*(x^4/y^10)÷(xy-y^2/x)^-5=-y(y-x)^29^-x*27^y=3^-2x*3^3y=3^(-2x+3y)=3^(-