2x+3y+z=8 4x-y-z=10 x+2y-z=1

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2x+3y+z=84x-y-z=10x+2y-z=12x+3y+z=84x-y-z=10x+2y-z=12x+3y+z=84x-y-z=10x+2y-z=12x+3y+z=8①4x-y-z=10②x+

2x+3y+z=8 4x-y-z=10 x+2y-z=1
2x+3y+z=8 4x-y-z=10 x+2y-z=1

2x+3y+z=8 4x-y-z=10 x+2y-z=1
2x+3y+z=8 ①
4x-y-z=10 ②
x+2y-z=1 ③
由①+②得 6x+2y=18 →3x+y=9 ④
由①+③得 3x+5y=9 ⑤
由④-⑤得 -4y=0 y=0
将y=0代入④得3x=9 x=3
将x=3 y=0 代入①得 6+z=8 z=2
所以x=3 y=0 z=2
祝学习快乐!

①2x+3y+z=8 ②4x-y-z=10 ③x+2y-z=1
① + ② → ④ 3x+y=9
② - ③ → ⑤ x-y=3
④ + ⑤ → x=3 即代入⑤中y=0 ,∴z = 2