3x^2 2y^2=12 z=0

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3x^2 2y^2=12 z=0
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

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

2x+5y+4z=0,3x+y-7z=0,则x+y-z=?

解法2:2x+5y+4z=0式①3x+y-7z=0式②x+y-z=?式①×3-式②×23(2x+5y+4z)-2(3x+y-7z)=015y+12z-2y+14z=013y+26z=0式③式①-式②×

2x-2y+z=0 2x+y-z=1 x+3y-2z=1

①+②4x-y=12②-③3x-y=1有上得x=0y=-1代入②得z=-2

①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-

(1)x+y+z=6①3x-y+2z=12②x-y-3z=-4③①+②4x+3z=18④②-③2x+5z=16⑤⑤×24x+10z=32⑥⑥-④7z=14解得z=2代入⑤2x+5×2=16解得x=3将

(1)y+3x+17=0 5y-2x+17=0 (2)x+y+z=12 x+2y+5z=22 x=4y (3)x+y+z

(1)方程1*5得5y+15x+85=0(3)(3)-(2)17x+68=0所以x=-4将x=-4代入1得y=-5(2x+y+z=12(1)x+2y+5z=22(2)x=4y(3)(3)分别代入(1)

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

已知{x-3y+2z=0 3x-3y-4z+0,则x:y:z=?

两个方程相减得到,6z=2x,然后z:x=3:1,方程乘上3,得到3x-9y+6z=0,减去方程2得到6y=6z,y:z=1:1,所以x:y:z=1:3:3

解下列方程:x-4y=0,x+2y+5z=22,x+y+z=12

x-4y=0①,x+2y+5z=22②,x+y+z=12③由①得:x=4y分别代入②③整理得:6y+5z=22④z=12-5y⑤把⑤代入④得:6y+60-25y=22,解得y=2把y=2代入⑤得:z=

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-3y+z=0,3x-2y-4z=0,则x:y:z=多少?

由x-3y+z=0可变形为z=3y-x代入到3x-2y-4z=0简化出x=2y,再将这个关系带入到z=3y-x中,可得出z=y,所以x:y:z=2:1:1

x+2y-4z=0 3x+y-z=0,则x:y:z=

x+2y-4z=0.[1]3x+y-z=0.[2][1]*3:3x+6y=12z.[3][3]-[2]:5y=11zy=11/5zx=4z-2*11/5z=-2/5zx:y:z=(-2/5z):(11

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

3x-y+z=3 2x+y-3z=11 x+y+z=12 解方程

3x-y+z=3(1)2x+y-3z=11(2)x+y+z=12(3)(1)+(2)5x-2z=14(4)(1)+(3)4x+2z=15(5)(4)+(5)9x=29所以x=29/9z=(5x-14)

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?

x+y-z=0 2x-3y+2z=5 x+2y-z=3

x+y-z=0①,2x-3y+2z=5②,x+2y-z=3③,①-③=x+y-z-﹙x+2y-z﹚=﹣3,y=3,将y=3代入①②中分别为,x-z=﹣3④,x+z=7⑤,④﹢⑤=2x=4,x=2,将x

x+2y-4z=0,3x+y-z=0,则x:y:z=?::

3x+y-z=012x+4y-4z=0和x+2y-4z=0相减的11x+2y=011x+2y=0得x/y=-2/113x+y-z=06x+2y-2z=0和x+2y-4z=0相减的5x+2z=05x+2

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.

已知 3x-y+2z=0 2x+y-3z=0,求x :y :z.

两式相加,得3x-z=0可得z/x=5将z=5x代入1式13x-y=0得y/x=13所以x:y:z=1:13:5