已知2x+3y+z=130,3x+5y+z=180,试求x+2y/x+y+z的值 要正确的!

问题描述:

已知2x+3y+z=130,3x+5y+z=180,试求x+2y/x+y+z的值 要正确的!

2x+3y+z=130(1)
3x+5y+z=180(2)
(2)-(1)得 x+2y=50
x=50-2y代入(1)得
100-4y+3y+z=130
z=y+30
∴x+2y/x+y+z
=(50-2y+2y)/(50-2y+y+y+30)
=50/80
=5/8