2x+2y+10z=100 7x+4y=200 17x+7y+30z=400 求怎么解

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/05 19:04:17

2x+2y+10z=100 .1
x+4y=200 .2
17x+7y+30z=400.3
由1式得
x+y+5z=50.4
3式-4式*6得
11x+y=100.5
5式*4-2式得
43x=200
x=200/43
将x=200/43代入2式得
200/43+4y=200
4y=8600/43-200/43
4y=8400/43
y=2100/43
将x=200/43,y=2100/43代入4式得
200/43+2100/43+5z=50
2300/43+5z=50
460/43+z=10
z=-30/43
所以x=200/43,y=2100/43,z=-30/43

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