{x+2y+z=8,2x-y-z=-3,3x+y-2z=-1
问题描述:
{x+2y+z=8,2x-y-z=-3,3x+y-2z=-1
答
{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