{3x-y+z=3 {2x+y-3z=11 {x+y+z=12 三元一次方程组
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{3x-y+z=3 {2x+y-3z=11 {x+y+z=12 三元一次方程组
{3x-y+z=3 {2x+y-3z=11 {x+y+z=12 三元一次方程组
{3x-y+z=3 {2x+y-3z=11 {x+y+z=12 三元一次方程组
{3x-y+z=3 (1)
{2x+y-3z=11 (2)
{x+y+z=12 (3)
由(1)得,y=3x+z-3,代入(2)(3)得
{5x-2z=14
{4x+2z=15,解得x=29/9,Z=19/18,代入(1),得y=139/18
3x-y+z=3 (1)
2x+y-3z=11 (2)
x+y+z=12 (3)
(1)+(2)
5x-2z=14 (4)
(1)+(3)
4x+2z=15 (5)
(4)+(5)
9x=29
所以
x=29/9
z=(5x-14)/2=19/18
y=3x+z-3=139/18
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