若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★

问题描述:

若{x+2y-4z=0}与{3x+y-z=0}的解相同,则x:y:z=[ ? ]注:做对了,加★☆100☆★

①x+2y-4z=0
②3x+y-z=0
①-2②
x-6x-4z+2z=0
5x=2z 代入①
z=5x/2
x+2y-10x=0
2y=9x
y=9x/2
x:y:z=1:9/2:5/2=2:9:5