已知4X-3Y+Z=0.X+3Y-3Z=0.则X:Y:Z=()

问题描述:

已知4X-3Y+Z=0.X+3Y-3Z=0.则X:Y:Z=()

4X-3Y+Z=0 ①
X+3Y-3Z=0 ②
①+②,得 5x-2z=0
x=(2/5)*z
将x=(2/5)*z 代入①,得
y=(13/15)*z
x:y:z=2/5z :13/15z :z
=2/5 :13/15 :1
=6:13:15