2x-y+3z=3 3x+y-2z=-1 x+y+z=5解方程组
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2x-y+3z=33x+y-2z=-1x+y+z=5解方程组2x-y+3z=33x+y-2z=-1x+y+z=5解方程组2x-y+3z=33x+y-2z=-1x+y+z=5解方程组2x-y+3z=3…
2x-y+3z=3 3x+y-2z=-1 x+y+z=5解方程组
2x-y+3z=3 3x+y-2z=-1 x+y+z=5解方程组
2x-y+3z=3 3x+y-2z=-1 x+y+z=5解方程组
2x-y+3z=3……(1)
3x+y-2z=-1……(2)
x+y+z=5……(3)
消去x,关于y、z的方程组:
由(3)×2-(1)得: 3y-z=7
由(3)×3-(2)得: 2y+5z=16
解得:y=3,z=2
代入可得:x=0
x=0
y=3
z=2
x=0
y=3
z=2
解由
2x-y+3z=3...................(1)
3x+y-2z=-1................(2)
x+y+z=5.....................(3)
由(1)+(2)
得5x+z=2..................(4)
由(1)+(3)得
3x+4z=8.................(5)...
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解由
2x-y+3z=3...................(1)
3x+y-2z=-1................(2)
x+y+z=5.....................(3)
由(1)+(2)
得5x+z=2..................(4)
由(1)+(3)得
3x+4z=8.................(5)
由(5)-(4)×4
得-17x=0
解得x=0
把x=0代入(4)
得z=2
把x=0,z=2代入(3)
得y=3
故方程组的解为
x=0,y=3,z=2.
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