{x+y-2z=-3 2x+6y+z=2 x+y+z=0

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{x+y-2z=-3 2x+6y+z=2 x+y+z=0
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{x+y-2z=-3 2x+6y+z=2 x+y+z=0
{x+y-2z=-3 2x+6y+z=2 x+y+z=0

{x+y-2z=-3 2x+6y+z=2 x+y+z=0
x+y-2z=-3 ①
2x+6y+z=2 ②
x+y+z=0 ③
③-①得3z=3 z=1
将z=1代入①和②
得x+y=-1 ④
2x+6y=1 ⑤
④×2-⑤
得-4y=-3
y=3/4
将y=3/4代入④
得x=-7/4