解方程组：x+y+z=3 3x+2y-z=5 x-3y+2z=5

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解方程组：x+y+z=33x+2y-z=5x-3y+2z=5解方程组：x+y+z=33x+2y-z=5x-3y+2z=5解方程组：x+y+z=33x+2y-z=5x-3y+2z=5x+y+z=3(1)

解方程组：x+y+z=3 3x+2y-z=5 x-3y+2z=5
解方程组：x+y+z=3 3x+2y-z=5 x-3y+2z=5

解方程组：x+y+z=3 3x+2y-z=5 x-3y+2z=5
x+y+z=3 (1)
3x+2y-z=5 (2)
x-3y+2z=5 (3)
(1)+(2)
4x+3y=8 (4)
(2)×2+(2)
7x+y=15 (5)
(5)×3-(4)
21x-4x=45-8
17x=37
所以
x=37/17
y=15-7x=-4/17
z=3-x-y=18/17

由1式+2式得：4x+3y=8
由1式×2-3式得：x+5y=1
由上述方程组得x=37/17，y=-4/17
将x=37/17，y=-4/17代入1式得z=18/17
所以x=37/17，y=-4/17，z=18/17。

x+y+z=3 (1)
3x+2y-z=5 (2)
x-3y+2z=5 (3)
由(1)-(3)得
4y-z=-2
z=4y+2 (4)
由(1)*3-(2)得
y+4z=4 (5)
y+4*(4y+2)=4
17y=-4
y=-4/17
z=18/17
x=37/17

①式-③式得4x-z=-2 一；①式×3-②式得y﹢4z=4 二；②式－③式×3得11y-7z=-10 三，联立二三式得51y=-12即y=-12／51=-4／17；将y=-4／17代入二式得z。再将z代入一得x

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