{x+2y+z=8{2x-y-z=-3{3x+y-2z=-1
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{x+2y+z=8{2x-y-z=-3{3x+y-2z=-1
{x+2y+z=8{2x-y-z=-3{3x+y-2z=-1
{x+2y+z=8{2x-y-z=-3{3x+y-2z=-1
你好
{x+2y+z=8 (1)
{2x-y-z=-3 (2)
{3x+y-2z=-1 (3)
(1)+(2)
3x+y=5 (4)
(1)*2+(3)
5x+5y=15
x+y=3 (5)
(4)-(5)
2x=2
x=1
代入(5)解得
y=2
把x=1、y=2代入(1)得
1+4+z=8
z=3
方程组的解为
{x=1
y=2
z=3
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X=1 Y=2 Z=3
x+2y+z=8..........................①
2x-y-z=-3..........................②
3x+y-2z=-1.......................③
①+②
=3x+y..............................④
=5
2②-③
=x-3y
=-5.....
全部展开
x+2y+z=8..........................①
2x-y-z=-3..........................②
3x+y-2z=-1.......................③
①+②
=3x+y..............................④
=5
2②-③
=x-3y
=-5...........................⑤
3④+⑤
=10x=10
得到:x=1
把x=1代入④
3+y=5
y=2
由x=1 y=2代入①
1+4+z=8
z=3
所以
x=1
y=2
z=3
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