{x+y+z=12 x+2y-5z=25 3x-2y-4z=8三元一次方程,
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{x+y+z=12 x+2y-5z=25 3x-2y-4z=8三元一次方程,
{x+y+z=12 x+2y-5z=25 3x-2y-4z=8
三元一次方程,
{x+y+z=12 x+2y-5z=25 3x-2y-4z=8三元一次方程,
解
x+y+z=12 ①
x+2y-5z=25 ②
3x-2y-4z=8 ③
①×2得:2x+2y+2z=24 ④
②+③得:4x-9z=33 ⑤
④+③得:5x-2z=32 ⑥
⑥×4-⑤×5得:37z=-37
∴z=-1,将z=-1代入⑤得:4x+9=33
∴x=6
将x=6代入①得:y=7
∴x=6,y=7,z=-1
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