X+3Y-Z=13 (1) 3X-2Y-Z=2 (2) 2X-Y+Z=-3 (3)
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X+3Y-Z=13(1)3X-2Y-Z=2(2)2X-Y+Z=-3(3)X+3Y-Z=13(1)3X-2Y-Z=2(2)2X-Y+Z=-3(3)X+3Y-Z=13(1)3X-2Y-Z=2(2)2X-Y
X+3Y-Z=13 (1) 3X-2Y-Z=2 (2) 2X-Y+Z=-3 (3)
X+3Y-Z=13 (1) 3X-2Y-Z=2 (2) 2X-Y+Z=-3 (3)
X+3Y-Z=13 (1) 3X-2Y-Z=2 (2) 2X-Y+Z=-3 (3)
X+3Y-Z=13 ①
3X-2Y-Z=2 ②
2X-Y+Z=-3 ③
②+③,得5x-3y=-1 ④
①+③,得3x+2y=10 ⑤
④×2,得10x-6y=-2 ⑥
⑤×3,得9x+6y=30 ⑦
⑥+⑦,得19x=28,∴x=28/19
把x=28/19代入④,得(140/19)-3y=-1,y=53/19
把x=28/19,y=53/19代入①,得
(28/19)+(159/19)-z=13,z=-60/19
∴原方程组的解是{x=28/19
y=53/19
z=-60/19
X+3Y-Z=13 (1)
3X-2Y-Z=2 (2)
2X-Y+Z=-3 (3)
(1)一(2)得
5Y-2X=11 (4)
(2)+(3)得
5X-3Y=5 (5)
(4)*5+(5)*2得
25Y-6Y=55+10
Y=65/19
Y代入(4)或(5)
得X=?
再把X、Y代入(1...
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X+3Y-Z=13 (1)
3X-2Y-Z=2 (2)
2X-Y+Z=-3 (3)
(1)一(2)得
5Y-2X=11 (4)
(2)+(3)得
5X-3Y=5 (5)
(4)*5+(5)*2得
25Y-6Y=55+10
Y=65/19
Y代入(4)或(5)
得X=?
再把X、Y代入(1)、(2)、(3)中一个得Z
详细计算自己计算,可能不对。
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