3x+2y+z=9,x+y+2z=0,2x+3y-z=11

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(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z

∑是循环和例如∑a=a+b+c∑a^2=a^2+b^2+c^2∑(z-y)(x-y)/(x+y-2z)(y+z-2x)=∑(z-y)(x-y)(x+z-2y)/(x+y-2z)(y+z-2x)(x+z

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

x+y−2z=52x−y+z=42x+y−3z=10

方程(1)+(2)得:3x-z=9④,方程(2)+(3)得:2x-z=7⑤,④-⑤得:x=2,把它代入⑤得:z=-3,把它代入(1)得:y=-3,∴原方程的解为x=2y=−3z=−3.

化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+(z-y)(x-y)/(x-2z+y)(y+z-2x)+(x

∵x-2y+z=(x-y)-(y-z),x+y-2z=(y-z)-(z-x),y+z-2x=(z-x)-(x-y).设x-y=a,y-z=b,z-x=c,则原式=-ac/(a-b)(b-c)+(-ba

x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y)

正整数?取对数即证:2xlnx+2ylny+2zlnz>(y+z)lnx+(x+z)lny+(x+y)lnzx>y>z,lnx>lny>lnz由排序不等式得xlnx+ylny+zlnz>ylnx+zl

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

十万火急!4x-9z=17 3x+y+15z=18 x+2y+3z=

楼主好,4x-9z=17.A3x+y+15z=18.Bx+2y+3z=2.C3C->3x+6y+9z=6.DA+D得:7x+6y+0Z=23.E5C->5x+10y+15z=10.FF-B得:2x+9

(x-2y+z)/9=(2x+y+3z)/10=-(3x+2y-4z)/3=1 连等,求x,y,z,

思路:(x-2y+z)/9=(2x+y+3z)/10=-(3x+2y-4z)/3=1即(x-2y+z)/9=1,(2x+y+3z)/10=1,-(3x+2y-4z)/3=1即(x-2y+z)=9,(2

{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

若x+2y-4z=0 3x+y-z=0 求x:y:z

①x+2y-4z=0②3x+y-z=0①-2②x-6x-4z+2z=05x=2z代入①z=5x/2x+2y-10x=02y=9xy=9x/2x:y:z=1:9/2:5/2=2:9:5

解方程组2x+y-3z=1,x-2y+z=6,3x-y+2z=9求x,y,z的值

2x+y-3z=1,①x-2y+z=6,②3x-y+2z=9③①+③得:5x-z=10④①×2+②得:5x-5z=8⑤④-⑤得:4z=2∴z=1/2x=21/10=2.1y=-1.7

2x+y+3z=383x+2y+4z=564x+y+5z=66

2x+y+3z=38①3x+2y+4z=56②4x+y+5z=66③③-①得:2x+2z=28,即x+z=14④,①×2-②得:x+2z=20⑤,由④和⑤组成方程组:x+z=14x+2z=20,解得:

3x+2y+z=9,x+y+2z=0,2x+3y-z=11

z=2x+3y-11然后代入式得到5x+5y=20可得到x+y=4得到z=-2,然后代入1和3式然后1式乘以2,3式乘以2,可得到y=1,然后代入任意一式得到x值.再问:过程再答:你敢不敢给我给分啊?

因式分解:25x y^2 z^2 (x+y-z)-30xyz(z-x-y)^2+5x y z^3 (z-x-y)

25xy^2z^2(x+y-z)-30xyz(z-x-y)^2+5xyz^3(z-x-y)=25xy^2z^2(x+y-z)+30xyz(x+y-z)^2-5xyz^3(x+y-z)=5xyz(x+y

x+2y+3z=12x+3y+z=23x+y+2z=3

x+2y+3z=1            ①2x+3y+z=2 &nb

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

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