x+y-z=0 2x-y+3z=-1 x+2y+3z=4 解三元一次方程组
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x+y-z=02x-y+3z=-1x+2y+3z=4解三元一次方程组x+y-z=02x-y+3z=-1x+2y+3z=4解三元一次方程组x+y-z=02x-y+3z=-1x+2y+3z=4解三元一次方
x+y-z=0 2x-y+3z=-1 x+2y+3z=4 解三元一次方程组
x+y-z=0 2x-y+3z=-1 x+2y+3z=4 解三元一次方程组
x+y-z=0 2x-y+3z=-1 x+2y+3z=4 解三元一次方程组
x+y-z=0…………………①
2x-y+3z=-1………………②
x+2y+3z=4………………③
由方程①可得
z=x+y………………………④
④代入方程②
2x-y+3(x+y)=-1
5x+2y=-1…………⑤
④代入方程③
x+2y+3(x+y)=4
4x+5y=4……………………⑥
由方程⑤可得
y=(-5x-1)/2………………⑦
⑦代入方程 ⑥
4x+5[(-5x-1)/2]=4
4x+(-25x-5)/2=4
-17x-5=8
x=-13/17
把x=-13/17代入方程⑦
y=[-5×(-13/17)-1)]/2=24/17
把x=-13/17、y=24/17代入方程④
z=-13/17+24/17=11/17
解得:x=-13/17
y=24/17
z=11/17
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