x+2y+4z=17 2x+y+z=7 3x+y+2z=11

问题描述:

x+2y+4z=17 2x+y+z=7 3x+y+2z=11

X+2Y+4Z=17.①
2X+Y+Z=7.②
3X+Y+2Z=11.③
③-②,得:
x+z=4.④
②+③-①,得:
4x-z=1...⑤
④+⑤,得:
5x=5
x=1
代入④,得:
1+z=4
z=3
再代入②,得:
2+y+3=7
y=2