以知x-2y=5,则5(x-2y)

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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

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.

6(x-y)-2(x+y)=14 3(x-y)+(x+y)=5

设x-y=mx+y=n则6m-2n=143m+n=5解得m=2n=-1即x-y=2x+y=-1解得x=1/2y=-3/2

以知X:Y=2:3,Y:Z=1:2,求2x²+3xy+5y²/x²-2xz+z²

x:y=2:3y:z=1:2=3:6x:y:z=2:3:6所以x/2=y/3=z/6令x/2=y/3=z/6=kx=2k,y=3k,z=6k2x²+3xy+5y²/x²-

3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27

化简得:-x+7y=11①7x+3y=27②①式×7得:-7x+49y=77③②+③得:52y=104∴y=2代入①得:x=3∴x=3,y=2再问:亲,是代入法哦!再答:代入法①式得3x+3y-4x+

已知x+y=6,x-y=5,则x^2-y^2等于多少

x^2-y^2=(x-y)(x+y)=5×6=30

x的平方+y的平方-4x-2y+5=0则以x 为底y的x次方的对数

x的平方+y的平方-4x-2y+5=0(x²-4x+4)+(y²-2y+1)=0(x-2)²+(y-1)²=0x=2y=1以x为底y的x次方的对数=以2为底1的

若以x,y为未知数二元一次方程组x+y=5m的解满足方程2x+3y=6,则m等于?

由方程组x+y=5m;x-y=9m可得X=7M,Y=-2M则把X=7M,Y=-2M代入方程2x+3y=6得8M=6,所以M=3/4

已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y)

因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3则5(x-y)(x+y)-(x+y)/2(x-y)=5*3-1/(3*2)=15-1/6=89/6

若5x+3y=3x+4y=x+2y+6,则x+y=___

3x+4y=x+2y+62x-x+4y-2y=62x+2y=6x+y=6/2x+y=3

已知x*x+4x+y*y-2y+5=0,则x*x+y*y=?

X^2表示平方X^2+4X+4+Y^2-2Y+1=0(X+2)^2+(Y-1)^2=0因为平方大于=0所以X+2=0Y-1=0X=-2Y=1X^2+Y^2=5

若3x-5y=0,则x+y/x=(),x-y/y=(),2x-3y/2x+3y=( )

3x-5y=0,则x+y/x=(8/5),x-y/y=(2/3),2x-3y/2x+3y=(1/19)因为3x-5y=0所以3x=5y设x=5,y=3,可以解得3x-5y=0,则x+y/x=(8/5)

以只2x+5y=3用含y的代数式表示x,则x=( ) 当y=1时x=( )

2x=3-5yx=(3-5y)/2当y=1时,x=(3-5*1)/2=-1

若x-2y=5,则式子12-x+2y=.以知3x-4y=2x+y则x∶y=

12-x+2y=12-(x-2y)=12-5=73x-4y=2x+yx=5yx:y=5:1

先化简再求值(x-y)(x+y)-(x-2y) 的完全平方+x(3x-5y)-(x-y)(x-2y),其中x=1/2 y

解(x-y)(x+y)-(x-2y)²+x(3x-5y)-(x-y)(x-2y)=(x²-y²)-(x²-4xy+4y²)+(3x²-5xy

若x/y=4/3 则3x+2y/2x-5y=

(3x+2y)/(2x-5y)分子分母同时除以y=(3x/y+2y/y)/(2x/y-5y/y)=(3x/y+2)/(2x/y-5)=(3*4/3+2)/(2*4/3-5)=6/(-7/3)=-6*3

3x-2y=2,5x+3y=-2,则x:y=( :)

3x-2y=2,5x+3y=-2两式相加得3x-2y+5x+3y=0则8x+y=0则8x=-y所以x:y=-1:8

若2x-3y+4=0则x(x*x-1)+x(5-x*x)-6y+7

x(x*x-1)+x(5-x*x)-6y+7=-x+5x-6y+7=2(2x-3y)+7=2*(-4)+7=-8+7=-1再问:能在写详一点吗-x+5x-6y+7再答:x(x*x-1)+x(5-x*x

以知2x+y+t=8,试求F(x,y,t)=5(x-y)^2+4y^2+3t^2最小值

有所谓的拉格朗日乘数法可以解决这个多元函数求极值问题设L(x,y,t,u)=5(x-y)^2+4y^2+3t^2+u(2x+y+t-8)分别对x,y,t,u求偏导再令其等于0,得4个方程:L'x=10

解方程组(x+y)(x-2y)=-5 (x-y)(x+2y)=7

展开x^2-2y^2-xy=-5x^2-2y^2+xy=7所以x^2-2y^2=1xy=6上式除以下式,解分式方程x/y=3/2或-4/3(舍去)所以x^2=9y^2=4x=3y=2或x=-3y=-2