已知3X Y-2 (2X 3Y 1)的平方等于0,求X,Y的值

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已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.

由X+Y=3XY可得X+Y-XY=2XY,用X+Y-XY替换分母中的2XY,所以(2X+2Y-XY)/(X+Y+2XY)=(2X+2Y-XY)/(2X+2Y-XY)=1

已知y=3+xy,求代数式2x+3xy-2y/x-2xy-y的值.

y=3+xyy-xy=3y(1-x)=3y=3/(1-x)1)2x+3xy-2y/x-2xy-y=2x+xy-2y/x-y=2x+3x/(1-x)-6/x(1-x)-3/(1-x)=2x-3/(1-x

已知x2-xy=-3,2xy-y2=-8,求2x2+4xy-3y2的值.

x2-xy=-3①,2xy-y2=-8②,①×2+②×3得:2x2-2xy+6xy-3y2=-6-24=-30,则2x2+4xy-3y2=-30.

已知x/y=2,求 [x^2-xy+3xy^2 ] / [ x^2+xy+6y^2]的值

因为x/y=2所以x=2y是[x^2-xy+3y^2]/[x^2+xy+6y^2]吧=(4y^2-2y^2+3y^2)/(4y^2+2y^2+6y^2)=5y^2/12y^2=5/12

已知:x+y=-2,xy=3.求:2(xy-3x)-3((2y-xy)的值

原式=2xy-6x-6y+3xy=5xy-6(x+y)=5×3-6×(-2)=27

已知xy^2=-2,求-xy(x^2y^5-xy^3-y)的值.

-xy(x^2y^5-xy^3-y)=-(xy^2)^3+(xy^2)^2+xy^2=-(-2)^3+4-2=8+4-2=10

已知x+y=4,xy=-2,求代数式3(xy+2y)-(xy-6x)的值

原式=3xy+6y-xy+6x=2xy+6(x+y)=2*(-2)+6*4=24-4=20

已知x2+xy=3,xy+y2=-2,则2x2-xy-3y2的值为(  )

∵2(x2+xy)-3(xy+y2)=2x2-xy-3y2,∴2x2-xy-3y2=2×3-3×(-2)=12.故选A.

已知x-y=4xy,求x-2xy-y分之2x+3xy-2y的值!

因为x-y=4xy所以x-2xy-y=2xy2x+3xy-2y=11xyx-2xy-y分之2x+3xy-2y=5.5

已知3x=xy+3y,求2x+xy-2y/y-x-xy的值

3x=xy+3y,xy=3x-3y2x+xy-2y/y-x-xy=(2x+3x-3y-2y)/(y-x-3x+3y)=(5x-5y)/[-(2x-2y)]=5/(-2)=-5/2

已知x+y=3xy,求2x+2y-xy/x+y+2xy的值、

x+y=3xy,所以2x+2y-xy/x+y+2xy=(2×3xy-xy)/(3xy+2xy)=5/5=1

已知:x+y=—3,xy=2,求-2(xy-3x)-2(2y-xy)的值

x=-1y=-2或x=-2y=-1-2(xy-3x)-2(2y-xy)=-2(xy-3x+2y-xy)=-2(2y-3x)等于2或-8

已知xy/x+y=2,求代数式3x-xy+3y/-x+3xy-y的值

原式=(3x+3y-xy)/[3xy-(x+y)]=[3(x+y)-xy]/[3xy-(x+y)]=[3-xy/(x+y)]/[3xy/(x+y)-1]=(3-2)/(3×2-1)=1/5

已知xy/x+y =3,求2x-3xy+2y/-x+3xy-y 的值.

因为xy/x+y=3,所以xy=3(x+y)(1)将式子(1)代入求值式子:2x-3xy+2y/-x+3xy-y=2x-9x-9y+2y/-x+9x+9y-y=-7x-7y/8x+8y=-7/8

已知xy/x+y=3,求2x-3xy+2y/-x+3xy-y的值

xy/x+y=3即:xy=3(x+y)(2x-3xy+2y)/(-x+3xy-y)=[2(x+y)-3xy]/[3xy-(x+y)]=[2(x+y)-9(x+y)]/[9(x+y)-(x+y)]=-7

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)]=-

已知x-y/xy=3,求分式2x+3xy-2y/x-2xy-y的值.

∵x-y/xy=3∴x-y=3xy2x+3xy-2y/x-2xy-y=[2(x-y)+3xy]/[(x-y)-2xy]=(6xy+3xy)/(3xy-2xy)=9xy/(xy)=9

已知x2;+xy=3,xy+y=-2,求代数式2x2;-xy-3y2;的值

2x²-xy-3y²=2x²+2xy-3xy-3y²=2(x²+xy)-3(xy+y²)已知x²+xy=3,xy+y²=