2x+y+3z=1, y-2z=4, 3x+y=9
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解:
2x+y+3z=1.............................(1)
y-2z=4...................................(2)
3x+y=9..................................(3)
(3)-(1),得:
x-3z=8,因此:
x=8-3z....................................(4)
(2),可写成:
y=4-2z...................................(5)
将(4)(5)代入到(1)中:
2(8-3z)+4-2z+3z=1,解得:
z=19/5代入(4)和(5)得:
x=-17/5
y=-18/5
因此:
x=-17/5
y=-18/5
z=19/5
2x+y+3z=1.............................(1)
y-2z=4...................................(2)
3x+y=9..................................(3)
(3)-(1),得:
x-3z=8,因此:
x=8-3z....................................(4)
(2),可写成:
y=4-2z...................................(5)
将(4)(5)代入到(1)中:
2(8-3z)+4-2z+3z=1,解得:
z=19/5代入(4)和(5)得:
x=-17/5
y=-18/5
因此:
x=-17/5
y=-18/5
z=19/5
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