知:2x=3,2y=6,2z=12,则 x.y.z 之间满足的关系一定是( )

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知:2x=3,2y=6,2z=12,则 x.y.z 之间满足的关系一定是( )
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

{2x+3y-4z=-5 x+y+z=6 x-y+3z=10

(1)2x+3y-4z=-5(2)x+y+z=6(两边同时×33x+3y+3z=18(与(1)相减得(5)(3)x-y+3z=10(与(2)相加得(4))(4)2x+4z=16(5)x+7z=23(两

5x+3y+2z=2011 4x+6y+7z=2012 求x+y+z

(5x+3y+2z)+(4x+6y+7z)=2011+20129(x+y+z)=4023x+y+z=447

解方程组{3x+y-z=4,2x-y+3z=12,x+y+z=6}

{3x+y-z=4①,2x-y+3z=12②,x+y+z=6③}①+②得5x+2z=16④,②+③得3x+4z=18⑤④×2—⑤得7x=14,x=2所以z=3、y=1所以方程组的解为x=2、y=1、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

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

已知x/4=y/5=z/6 求x+y+z/3x-2y+z的值

设:x/4=y/5=z/6=k则有:x=4k,y=5k,z=6k(x+y+z)/(3x-2y+z)=(4k+5k+6k)/(12k-10k+6k)=15k/8k=15/8

2x-y+2z=-17 3x+y-3z=-4 x+y+z=6

2x-y+2z=-17①3x+y-3z=-4②x+y+z=6③③*2:2x+2y+2z=12④④-①:3y=29y=29/3带入③:x+z=-11/3⑤带入②:3x-3z=-41/3即x-z=-41/

如果|x+y+z-6|+|2x+3y-z-12|+|2x-y-z|=0求x,y,

x+y+z-6=02x+3y-z-12=02x-y-z=0组成方程组再解x=2y=3z=1

1.x+y=16,y+z=12,z+x=102.3x-y+z=4,2x+3y-z=12,x+y+z=63.x+y+z=6

1.x+y=16①y+z=12②z+x=10③①-②x-z=4④③+④2x=14x=7⑤⑤代入①y=9⑥⑥代入②z=3x=7,y=9,z=3(2)3x-y+z=4①2x+3y-z=12②x+y+z=6

x+y+z=4 2x+3y-z=6 3x+2y+2z=10

X+Y+Z=4,2*(X+Y+Z)+X=10,可以解出X=2.套入第二个和第一个.4+3Y-Z=66+2Y+2Z=10那么3Y=Z+2,2Y+2Z=4.Y=1,X=1X+Y+Z=4=2+1=12x+3

解方程组:x+y+z=4,x+y+2z=5,3x+y-z=6

x+y+z=41式x+y+2z=52式3x+y-z=63式2-1式z=13-2式2x-3z=14式z=1代入4式x=2再代入1式y=1∴x=2,y=1,z=1请点击下面的【选为满意回答】按钮,再问:�

{x+y+z=6,2x-y+z=3,3x+9y+z=24

x+y+z=6(1)2x-y+z=3(2)3x+9y+z=24(3)(1)-(2)得:2y-x=3(4)(3)-(1)得:2x+8y=18即x+4y=9(5)(4)+(5)得:6y=12y=2代入(4

2x+5y+4z=6,3x+y-7z=-4,x+y-z=?

已知,2x+5y+4z=6,3x+y-7z=-4,可得:2(2x+5y+4z)+3(3x+y-7z)=2*6+3*(-4)=0;即有:13(x+y-z)=0,所以,x+y-z=0.

已知x/4=y/5=z/6,求x+y+z/3x-2y+z的值.

/>x/4=y/5=z/6=t分别用t表示x,y,z然后带入到要求的式子x+y+z/3x-2y+z中最终解得结果

已知2x+5y+4z=6 3x+y-7z=-4求x+y-z

解法1:2x+5y+4z=0式①3x+y-7z=0式②x+y-z=?式③式①=0,式②=0,所以式①-式③=式②-式③即:2x+5y+4z-x-y+z=3x+y-7z-x-y+zx+4y+5z=2x+

解方程{3x -y+z=4 2x+3y-z=12 x+y+z=6

x=2y=3z=13x-y+z=42x+3y-z=12消z得5x+2y=162x+3y-z=12x+y+z=6消z得3x+4y=185x+2y=163x+4y=18合并得x=2y=3代入x+y+z=6

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3