x+2y=0 2x-y+3z=-1 4x-y+z=3三元一次方程の解和过程

来源：学生作业帮助网编辑：六六作业网时间：2024/12/23 17:56:23

x+2y=02x-y+3z=-14x-y+z=3三元一次方程の解和过程x+2y=02x-y+3z=-14x-y+z=3三元一次方程の解和过程x+2y=02x-y+3z=-14x-y+z=3三元一次方程

x+2y=0 2x-y+3z=-1 4x-y+z=3三元一次方程の解和过程
x+2y=0 2x-y+3z=-1 4x-y+z=3
三元一次方程の解和过程

x+2y=0 2x-y+3z=-1 4x-y+z=3三元一次方程の解和过程
这种三元一次方程组的解法常用高斯消元法,四个题解法都是一样的.现给出第（1）题的过程：
由x+y-z=0可得z=x+y,代入剩余两个方程可得：2x-y+3(x+y)=2,x-4y-2(x+y)+6=0,整理得：5x+2y=2,
x+6y=6（这个式子可以两边同乘5得：5x+30y=30),由5x+2y=2,5x+30y=30两式相减消去5x,可得28y=28,y=1,再由x+6y=6(或5x+2y=2)可得x=0,而z=x+y=1,解完!详细过程就是这样,参照着做就可以了,写了这么多,其他三个方程直接给出答案:(2) x=2,y=0,z=-3; (3)x=3,y=-1,z=-3;
(4)x=5/3,y=5/9,z=-1/3;

3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4 1.{x:y:z=3:4:5 2x+3y-5z=-142.{x-y-z=-1 3x+5y+7z=11 4x-y+2z=-13.{x+y=1 x+z=0 2x+y+2z=44.{x-y+z=-3 2x-y-z=-2 -3x+y+z=-15.{x-y+z=-3 3x+y-4z=6 2x+y-z=36.{x-2y+5z=16 2x+y-5z=7 2x-y+z=38 2x+z=10 x+y-z=4 3x-y-z=0 {2x+y=10 {x-y+z=4 {3x-y-z=0 证明：x/(y+z)+y/(z+x)+z/(x+y)>=3/2其中 x,y,z>0 x+2y-z=-5 x+y+2z=-1 3x+4y-2z=-12x+2y-z=3 2x+y+3z=0 4x+z=-4 x+2y=3x+2z=4y+z 求x:y:z x+y/2=z+x/3=y+z/4 x+y+z=27 若|x+3|+|y-2|+|2×z+1|=0求(x×z-y×z)(y-x+z)的值解方程组 1.3(x+y)-4(x-y)=4,x+y/2 + x-y/6 =1 2.5x+4y+z=0,3x+y-4z=11,x+y+z=-2 已知4x-3y-3z=x-3y+z=0(x、y、z不等于0)(1)求x：y：z （2）求2x+3y-4z/z的值 x+2y-z=0 2x-3z=1 3x-y+2z=4x+2y-z=02x-3z=13x-y+2z=4 已知4x-3y+z=0 x+3y-11z=0,求:(1)x::z的值;(2)x:y:2的值;(3)x+3y-z/2x-3y+4z的值试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y) 已知：x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值. x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z 已知4x-3y-3z=0,x-3y-z=0求(1)x:z的值.（2）x:y:z的值.