解三元一次方程{2x+y+z=17① x+2y+z=18② x+y+2z=21③

问题描述:

解三元一次方程{2x+y+z=17① x+2y+z=18② x+y+2z=21③

2x+y+z=17①
x+2y+z=18②
x+y+2z=21③
② +③
2x+3y+3z=39
减①得
2y+2z=22
代入①
x=3,
代入③得
y+2z=18
y+z=11
z=7,y=4