已知x:3y:z=1 2:3 5:1,且x y=35,则x-2y z=

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已知5x=3y,4z=7y,求x:y:z

x:y:z=(3y/5):y:(7y/4)=(3/5):1:(7/4)=12:20:35再问:已知x+2y-z=02x+3y+z=0求x:y

已知3x=4y,2y=5z,试求x:y:z

x=4y/3y=yz=2y/5所以,x:y:z=4/3:1:2/5=20:15:6

已知3X+7Y+Z=35,4X+10Y+Z=40,求X+Y+Z的值

第一种把z当参数3x+7y=35-z4x+10y=40-z把xy解出来第二种设l(3x+7y+z)+m(4x+10y+z)=n(x+y+z)解出满足要求得一组就可以如l=3m=-2有3(3x+7y+z

已知x/2=y/3=z/4且x+y+z=12求2x+3y+4z

x/2=y/3=z/4x+y+z=12x=8/3y=4z=16/32x+3y+4z=38+2/3

已知20(x+2y)=15(y+3Z)=12(z+5x),则x:y

(x+2y)/3=(y+3z)/4(x+2y)/3=(z+5x)/5化简得4x+5y=9z-10x+10y=3z解得x=(5/6)zy=(17/15)zx:y=(5/6):(17/15)=25:34y

已知3x+7y+4z=35,x+5y+2z=40,则x+y+z=______.

将两式组成方程组得3x+7y+4z=35①x+5y+2z=40②,①-②得,2x+2y+2z=-5,∴x+y+z=-52.故本题答案为:-52.

已知x^3+y^3-z^3=96,xyz=4,x^2+y^2+z^2-xy+xz+yz=12,则x+y-z等于

已知x^3+y^3-z^3=96,xyz=4,x^2+y^2+z^2-xy+xz+yz=12,则x+y-z等于[x+y-z]^2=x^2+y^2+z^2-2xy-2xz-2yzx^3+y^3=(x+y

已知2分之x=3分之y=4分之z,且x+y+z=12分之1,求x,y,z的值.

令2分之x=3分之y=4分之z=k,则:x=2ky=3kz=4kx+y+z=1/12,得:2k+3k+4k=1/129k=1/12k=1/108所以:x=2/108=1/54y=3/108=1/36z

已知:x+y-z=4x^2+y^2-z^2=12x^3+y^3-z^3=34求xyz

这可是三元三次方程组呀.x+y-z=4--->x+y=z+4-->x^2+y^2+2xy=z^2+8z+16与第2式相减:2xy=8z+4-->xy=4z+2(x+y)^3=(z+4)^3,得:(x+

已知 x-3y+z=0 3x-3y-4z=0,则x:y:z=

由题:x-3y+z=0(1)3x-3y-4z=0(2)将(2)-(1)得:2x-5z=0(3)将(2)-3*(1)得:6y-7z=0(4)由(3)得x、z的比值:x:z=5:2则:x=5/2z同理由(

已知{x:y:z=1:2:3,x+y+z=12,求x、y、z的值

x:y:z=1:2:3,x=k,y=2k,z=3kx+y+z=k+2k+3k=6k=12k=2x=2,y=4,z=6

已知:3x+4y+5z=12,5x+6y+7z=15.请问:x+2y+3z=?

3x+4y+5z=12,.(1)5x+6y+7z=15.(2)(2)-(1):2x+2y+2z=3.(3)(1)-(3)x+2y+3z=9

已知x+y/2=y+z/3=z+x/4,且x+2y+z=12,求x-2y+z的值

设(x+y)/2=(y+z)/3=(z+x)/4=kx+y=2ky+z=3kx+z=4k1式+3式2x+y+z=6k2x+3k=6k2x=3kx=3k/2代入1式得y=k/2代入3式得z=5k/2∵x

已知,x/2=y/3=z/4,则(2x+y-z)/(3x-2y+z)=?

即y=3x/2z=2x所以原式=(2x+3x/2-2x)/(3x-3x+2x)=(3x/2)/(2x)=3/4

已知X-3Y+Z=0 3X-3Y-4Z=0.则X:Y:Z=?

1、两式相减得:(后减前)2x-5z=0,所以x:z=5:2,2、前式乘4,再与后式相加得:7x-15y=0,所以x:y=15:7所以,x:y:z=15:7:6

已知x,y,z满足方程组x+2y-z=21 x-y+2z=12

x+2y-z=21①x-y+2z=12②①*2+②=3x+3y=54即x+y=18得出y=18-x代入②得x+z=15得出z=15-x代入186/x²+y²+z²得出18

已知3X=4X,5Y=6Z求X+Y:Y+Z

应该是3X=4Y,5Y=6Z吧?X+Y:Y+Z=[(4Y/3)+Y]:(Y+5Y/6)=14;11

已知x-2y+3z=7,4x+3y-2z=3,求代数式5x+12y-13z的值.

由x-2y+3z=7可得:-(x-2y+3z)=-7……①式4x+3y-2z=3……②式所以5x+12y-13z=3×①+2×②=-15