已知2x+3y-4z=0,3x+4y+5z=0,求x+y+z⼀x-y+z的值

2024-11-08 17:48:05
推荐回答(1个)
回答(1):

2x+3y-4z=0 (1)
3x+4y+5z=0 (2)

2(2)-3(1)
-y+18z=0
y=18z

from (1)
2x+54z-4z=0
x=-25z

x:y:z = 25 : -18: -1
x=25k , y=-18k ,z=-k

(x+y+z)/(x-y+z)
=(25-18-1)/(25+18-1)
=6/42
=1/7