{x+y+z=6,2x-y+z=3,3x+9y+z=24
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{x+y+z=6,2x-y+z=3,3x+9y+z=24{x+y+z=6,2x-y+z=3,3x+9y+z=24{x+y+z=6,2x-y+z=3,3x+9y+z=24x+y+z=6(1)2x-y+z
{x+y+z=6,2x-y+z=3,3x+9y+z=24
{x+y+z=6,2x-y+z=3,3x+9y+z=24
{x+y+z=6,2x-y+z=3,3x+9y+z=24
x+y+z=6 (1)
2x-y+z=3 (2)
3x+9y+z=24 (3)
(1)-(2)得:2y-x=3 (4)
(3)-(1)得:2x+8y=18 即x+4y=9 (5)
(4)+(5)得:6y=12 y=2代入 (4)得 x=1,代入(1)得z=3.
故得:x=1,y=2,z=3.
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