4x+9y+z=12 2x-3y-2z=1 x+y-5z=0
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4x+9y+z=12 2x-3y-2z=1 x+y-5z=0
(1)4x+9y+z=12
(2)2x-3y-2z=1
(3)x+y-5z=0 推出:(4)3x+3y-15z=0 (5)9x+9y-45z=0
(2)+(4) 得出:(6)5x-17z=1
(5)-(1)得出:(7)5x-46z=-12
(6)-(7)得出:29z=13 所以:z=13/29
代入(6)得出:5x-17×(13/29)=1 所以:x=50/29
代入(3) 得出:50/29+y-5×(13/29)=0 所以:y=15/29
(2)2x-3y-2z=1
(3)x+y-5z=0 推出:(4)3x+3y-15z=0 (5)9x+9y-45z=0
(2)+(4) 得出:(6)5x-17z=1
(5)-(1)得出:(7)5x-46z=-12
(6)-(7)得出:29z=13 所以:z=13/29
代入(6)得出:5x-17×(13/29)=1 所以:x=50/29
代入(3) 得出:50/29+y-5×(13/29)=0 所以:y=15/29
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