三元一次方程组:{7x+2y-z=7,6x-y+z=7,4x+3y+z=9怎么解

2024-12-12 01:50:27
推荐回答(1个)
回答1:

解:
7x+2y-z=7,............(1)
6x-y+z=7,................(2)
4x+3y+z=9..........(3)
(1)+(2):
13x+y=14
y=14-13x...........(4)
(3)-(2):
-2x+4y=2
x=2y-1...........(5)
将(5)代入(4):
y=14-13x=14-13(2y-1)=27-26y
y=1
x=1
z=2