解三元一次方程组{x+y-z-0.5=0x-3y+2z=03x+2y-z-2=0
x+y-z-0.5=0 ①
x-3y+2z=0 ②
3x+2y-z-2=0 ③
整理:
x+y-z=0.5 ④
x-3y+2z=0 ⑤
3x+2y-z=2 ⑥
④+⑤+⑥
5x=2.5
x=0.5
将 x=0.5 代入④
0.5+y-z=0.5
y-z=0
y=z
将 x=0.5,y=z 代入⑥
3×0.5+2y-y=2
y=0.5
解得:x=0.5,y=0.5,z=0.5
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x+y-z-0.5=0 ①
x-3y+2z=0 ②
3x+2y-z-2=0 ③
整理:
x+y-z=0.5 ④
x-3y+2z=0 ⑤
3x+2y-z=2 ⑥
④+⑤+⑥
5x=2.5
x=0.5
将 x=0.5 代入④
0.5+y-z=0.5
y-z=0
y=z
将 x=0.5,y=z 代入⑥
3×0.5+2y-y=2
y=0.5
解得:x=0.5,y=0.5,z=0.5