数学消元法解四元一次方程组详细步骤,谢谢
1个回答
展开全部
3x1+x2-x3+x4 = -3 ①
x1-x2+x3+2x4 = 4 ②
2x1+x2+2x3-x4 = 7 ③
x1+ 2x3+x4 = 6 ④
① + ②
4x1+3x4 = 1 ⑤
③ + ②
3x1+3x3+x4 = 11 ⑥
④×3
3x1+6x3+3x4 = 18 ⑦
⑥×2
6x1+6x3+2x4 = 22 ⑧
⑧ - ⑦
3x1-x4 = 4 ⑨
⑨*3+⑤
13x1 = 13
∴x1 = 1
带入⑤得:x4 = -1
带入④得:x3 = 3
带入②得:x2 = -2
答题不易,请及时采纳,谢谢!
x1-x2+x3+2x4 = 4 ②
2x1+x2+2x3-x4 = 7 ③
x1+ 2x3+x4 = 6 ④
① + ②
4x1+3x4 = 1 ⑤
③ + ②
3x1+3x3+x4 = 11 ⑥
④×3
3x1+6x3+3x4 = 18 ⑦
⑥×2
6x1+6x3+2x4 = 22 ⑧
⑧ - ⑦
3x1-x4 = 4 ⑨
⑨*3+⑤
13x1 = 13
∴x1 = 1
带入⑤得:x4 = -1
带入④得:x3 = 3
带入②得:x2 = -2
答题不易,请及时采纳,谢谢!
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询