4x-3y-6z=0,x+2y-7z=0,且x,y,z都不为零.求的值

2025-05-10 05:04:12
推荐回答(1个)
回答1:

4x-3y-6z=0 (1)
x+2y-7z=0 (2)

4(2)-(1)
11y-22z=0
y:z = 2:1
=> y=2k and z=k (3)

sub (3) into (1)
4x-6k-6k=0
x=3k
(x,y,z) = (3k,2k, k)