x+y-z=6 x-3y+2z=1 3x+y-z=4
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x+y-z=6 x-3y+2z=1 3x+y-z=4
x+y-z=6 x-3y+2z=1 3x+y-z=4
x+y-z=6 x-3y+2z=1 3x+y-z=4
x+y-z=6①
x-3y+2z=1②
3x+y-z=4③
把方程③-①得,x=-1.带入①得y-z=7④;带入②得-3y+2z=2⑤,④×2+⑤得,y=-16,z=-23.
所以方程的解是x=-1,y=-16,z=-23.
(1)运用加减消元法解方程组:首先消z,得到关于x,y的方程组,再进一步求解;
(1)
x+y-z=6①
x-3y+2z=1②
3x+2y-z=4③
①×2+②,得
3x-y=13④,
③-①,得
2x+y=-2⑤,
④+⑤,得
5x=11,
x=2.2.
把x=2...
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(1)运用加减消元法解方程组:首先消z,得到关于x,y的方程组,再进一步求解;
(1)
x+y-z=6①
x-3y+2z=1②
3x+2y-z=4③
①×2+②,得
3x-y=13④,
③-①,得
2x+y=-2⑤,
④+⑤,得
5x=11,
x=2.2.
把x=2.2代入⑤,得
y=-6.4.
把x=2.2,y=-6.4代入①,得
z=-10.2.
则方程组的解是
x=2.2y=-6.4z=-10.2
.
点评:此题要能够熟练运用加减消元法解三元一次方程组,注意特殊方程组的简便解法
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