已知x,y,z满足

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已知XYZ满足方程组 X+Y-Z=6 Y+Z-X=2 Z+X-y=0 求X Y Z的值

X+Y-Z=6①Y+Z-X=2②Z+X-y=0③①+②+③得x+y+z=8④④-①得2z=2z=1④-②得2x=6x=3④-③得2y=8y=4即x=3y=4z=1

已知x,y,z为实数,满足x+2y-z=6x-y+2z=3

x+2y-z=6①x-y+2z=3②,①×2+②,得x+y=5,则y=5-x③,①+2×②,得x+z=4,则z=4-x④,把③④代入x2+y2+z2得,x2+(5-x)2+(4-x)2=3x2-18x

已知实数x,y,z,满足那么x+y=6,z^2=xy-9,求(x+y)^z

实数x,y,z,满足那么x+y=6,z^2=xy-9,∴xy=z^+9,(x-y)^=(x+y)^-4xy=-4z^>=0,∴z=0,(x+y)^z=6^0=1.

已知x、y、z满足x2-4x+y2+6y+z+1

x2-4x+y2+6y+z+1+13=(x-2)2+(y+3)2+z+1=0,∴x-2=0,y+3=0,z+1=0,即x=2,y=-3,z=-1,则(xy)z=(-6)-1=-16.

一条分式数学题已知x y z满足x/x+y + y/z+x + z/x+y =1,求x²/x+y + y&su

因为x/y+z+y/z+x+z/x+y=1所以x/y+z=1-y/z+x-z/x+y,两边同乘以x得x^2/y+z=x-xy/z+x-xz/x+y同理y^2/x+z=y-xy/z+y-yz/x+y,z

已知x、y、z满足方程组:x+y-z=6;y+z-x=2;z+x-y=0 求x、y、z的值

x+y-z=6y+z-x=2z+x-y=0三式相加得x+y+z=8-得2z=2z=1-得2x=6x=3-得2y=8y=4x=3y=4z=1

已知正数x,y,z满足5x+4y+3z=10

这么简单的题目,你们不要老是依靠答案,要自己算出答案来,就算错了,那也是你自己算出来的,就算你骗了老师,但你同事也骗了你自己

已知x,y,z满足方程组,求x:y:z的值

1式x2+2式得9X-3y=o即y=3x带入2式得10x-5z=0即z=2x由上两式得x:y:z=1:3:2再问:是这道题的吗?再答:是啊再问:x2+2什么意思再答:第一个式子乘2再加上第二个式子

已知三个正整数x,y,z满足x+y+z=xyz,且x

xyz=x+y+z<3z∴xy<3由于x<y,故xy=2,x=1,y=2∴z=3

已知三个数x,y,z满足xyx+y

∵xyx+y=-2,yzy+z=43,zxz+x=-43,∴1x+1y=-12,1y+1z=34,1z+1x=-34,∴2(1x+1y+1z)=-12,即1x+1y+1z=-14,则xyzxy+yz+

1.已知x,y,z满足2│x-y│+(根号2y-z)+z平方-z+(1/4)=0,求x,y,z值.

1.z²-z+1/4=(z-1/2)².绝对值、根号、平方数都是非负的,而相加为0.所以都为0.即x=y,2y=z,z=1/2.所以x=y=1/4,z=1/2.2.2002x200

已知x,y,z满足方程组

第一题:2x-3y=8①3y+2z=0②x-z=-2③由①+②得到:2x+2z=8④由③式得到x=z-2,带入④式得到:z=3然后解得:x=1、y=-2、z=3,那么xyz=-6第二题:由①-2②,③

已知x,y,z为非零实数,且满足x+y-z/z=y+z-x/x=z+x-y/y 求x+y+z/z的值

x+y-z/z=y+z-x/x=z+x-y/y,应用等比定理,得(x+y-z+y+z-x+z+x-y)/(x+y+z)=(x+y-z)/z,所以(x+y+z)/(x+y+z)=(x+y-z)/z,即1

已知x、y、z满足|4x-4y+1|+152y+z+(z−12)

根据题意得,4x-4y+1=0,2y+z=0,z-12=0,解得x=-12,y=-14,z=12,∴x+z-y=-12+12-(-14)=14,∴x+z−y=14=12.故答案为:12.

已知x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求代数式x2/(y+z)+y2/(x+z)+z2/

x/(y+z)+y/(z+x)+z/(x+y)=1所以x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+

已知实数x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求x2/(y+z)+y2/(z+x)+z2/(

等于0.x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+y/(z+x)]x2/(y+z)+y2/(z+

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x,y,z满足方程组{x+y-z=6,y+z-x=2,z+x-y=0,求x,

X+Y-Z=6.aY+Z-X=2.bZ+X-Y=0.ca,b,c三式相加X+Y+Z=8.dd式-a式2Z=2Z=1d式-b式2X=6X=3d式-C式2Y=8Y=4

已知三个数x,y,z满足

xy/(x+y)=-2(x+y)/xy=-1/21/y+1/x=-1/2yz/(y+z)=4/3(y+z)/yz=3/41/z+1/y=3/4zx/(z+x)=-4/3(z+x)/zx=-3/41/x