
解三元一次方程组{2x+4y+3z=9 3x-2y+5z=11 5x-6y+7z=13}
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解:
2x+4y+3z=9.................(1)
3x-2y+5z=11 ..............(2)
5x-6y+7z=13...............(3)
(1)+(2)*2:
8x+13z=31...................(4)
(2)*3-(1):
4x+8z=20,x+2z=5....(5)
(5)代入(4):
8(5-2z)+13z=31
-3z=-9
z=3
x=5-2z=-1
y=0.5
2x+4y+3z=9.................(1)
3x-2y+5z=11 ..............(2)
5x-6y+7z=13...............(3)
(1)+(2)*2:
8x+13z=31...................(4)
(2)*3-(1):
4x+8z=20,x+2z=5....(5)
(5)代入(4):
8(5-2z)+13z=31
-3z=-9
z=3
x=5-2z=-1
y=0.5
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