求满足下列条件的所有正整数解3x+2y-z=4,2x-y+2z=6,x+y+z<7
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求满足下列条件的所有正整数解3x+2y-z=4,2x-y+2z=6,x+y+z<7
![求满足下列条件的所有正整数解3x+2y-z=4,2x-y+2z=6,x+y+z<7](/uploads/image/z/4118163-51-3.jpg?t=%E6%B1%82%E6%BB%A1%E8%B6%B3%E4%B8%8B%E5%88%97%E6%9D%A1%E4%BB%B6%E7%9A%84%E6%89%80%E6%9C%89%E6%AD%A3%E6%95%B4%E6%95%B0%E8%A7%A33x%2B2y-z%3D4%2C2x-y%2B2z%3D6%2Cx%2By%2Bz%EF%BC%9C7)
3x+2y-z=4 (1)
2x-y+2z=6 (2)
(1)×2+(2)
8x+3y=14
y=(14-8x)/3>0
14-8x>0
x0
16-7x>0
x
2x-y+2z=6 (2)
(1)×2+(2)
8x+3y=14
y=(14-8x)/3>0
14-8x>0
x0
16-7x>0
x
求满足下列条件的所有正整数解3x+2y-z=4,2x-y+2z=6,x+y+z<7
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