怎样解方程组:3X-Y+Z=3 2X+Y-3Z=11 X+Y+Z=12,
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怎样解方程组:3X-Y+Z=3 2X+Y-3Z=11 X+Y+Z=12,
怎样解方程组:3X-Y+Z=3 2X+Y-3Z=11 X+Y+Z=12,
怎样解方程组:3X-Y+Z=3 2X+Y-3Z=11 X+Y+Z=12,
3x-y+z=3 ①
2x+y-3z=11 ②
x+y+z=12 ③
方程①-③得
2X-2Y=-9 ④
方程②+3*③得
5x+4y=47 ⑤
④*2+⑤得
9x=29
x=29/9 代入④得y=139/18
将x、y代入③得
z=-1/18
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3X-Y+Z=3 (1)
2X+Y-3Z=11 (2)
X+Y+Z=12 (3)
(2) + (1)
5X-2Z=14 (4)
(2)-(3)
X-4Z=-1 ...
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3X-Y+Z=3 (1)
2X+Y-3Z=11 (2)
X+Y+Z=12 (3)
(2) + (1)
5X-2Z=14 (4)
(2)-(3)
X-4Z=-1 (5)
2(4) - (5)
9X = 29
X = 29/9
from (5)
29/9 - 4Z = -1
Z = 19/18
from (3)
29/9+Y+19/18 =12
Y = 139/18
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3x-y+z=3 (1)
2x+y-3z=11 (2)
x+y+z=12 (3)
(1)+(3)得
4x+2z=15 (4)
(2)-(3)得
x-4z=-1
x=4z-1 (5)
(5)代入(4)得
4(4z-1)+2z=15
16z-4+2z...
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3x-y+z=3 (1)
2x+y-3z=11 (2)
x+y+z=12 (3)
(1)+(3)得
4x+2z=15 (4)
(2)-(3)得
x-4z=-1
x=4z-1 (5)
(5)代入(4)得
4(4z-1)+2z=15
16z-4+2z=15
18z=19
z=19/18
将z=19/18代入(5)得
x=4*19/18-1
x=29/9
将x=29/9代入(3)得
y=12-19/18-29/9
y=(216-19-58)/18
y=139/18
所以得出
x=29/9 y=139/18 z=19/18
收起