(1)x+y-z=0 2x-y+3z=2 x-4y-2z+6=0(2)3x+y=6 x+2y-z=5 5x-3y+2z=4(3)x+y+z=-1 4x-2y+3z=5 y-z=8-2x(4)2x+3y=5 3y-4z=3 4z+5x=7三元一次方程,千万别用科学计算器来算裁图,
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 20:20:20
![(1)x+y-z=0 2x-y+3z=2 x-4y-2z+6=0(2)3x+y=6 x+2y-z=5 5x-3y+2z=4(3)x+y+z=-1 4x-2y+3z=5 y-z=8-2x(4)2x+3y=5 3y-4z=3 4z+5x=7三元一次方程,千万别用科学计算器来算裁图,](/uploads/image/z/90759-39-9.jpg?t=%EF%BC%881%EF%BC%89x%2By-z%3D0+2x-y%2B3z%3D2+x-4y-2z%2B6%3D0%282%293x%2By%3D6+x%2B2y-z%3D5+5x-3y%2B2z%3D4%283%29x%2By%2Bz%3D-1+4x-2y%2B3z%3D5+y-z%3D8-2x%EF%BC%884%EF%BC%892x%2B3y%3D5+3y-4z%3D3+4z%2B5x%3D7%E4%B8%89%E5%85%83%E4%B8%80%E6%AC%A1%E6%96%B9%E7%A8%8B%2C%E5%8D%83%E4%B8%87%E5%88%AB%E7%94%A8%E7%A7%91%E5%AD%A6%E8%AE%A1%E7%AE%97%E5%99%A8%E6%9D%A5%E7%AE%97%E8%A3%81%E5%9B%BE%2C)
(1)x+y-z=0 2x-y+3z=2 x-4y-2z+6=0(2)3x+y=6 x+2y-z=5 5x-3y+2z=4(3)x+y+z=-1 4x-2y+3z=5 y-z=8-2x(4)2x+3y=5 3y-4z=3 4z+5x=7三元一次方程,千万别用科学计算器来算裁图,
(1)x+y-z=0 2x-y+3z=2 x-4y-2z+6=0(2)3x+y=6 x+2y-z=5 5x-3y+2z=4(3)x+y+z=-1 4x-2y+3z=5 y-z=8-2x
(4)2x+3y=5 3y-4z=3 4z+5x=7三元一次方程,千万别用科学计算器来算裁图,
(1)x+y-z=0 2x-y+3z=2 x-4y-2z+6=0(2)3x+y=6 x+2y-z=5 5x-3y+2z=4(3)x+y+z=-1 4x-2y+3z=5 y-z=8-2x(4)2x+3y=5 3y-4z=3 4z+5x=7三元一次方程,千万别用科学计算器来算裁图,
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;