已知x+1/3=y+3/4=x+y/5,则3x+2y+1/x+2y+3=_.

问题描述:

已知

x+1
3
y+3
4
x+y
5
,则
3x+2y+1
x+2y+3
=______.

x+1
3
y+3
4
x+y
5
=m,则x+1=3m,y+3=4m,x+y=5m;
解可得m=2,
进而可得x=5,y=5,
代入分式可得
3x+2y+1
x+2y+3
=
26
18
=
13
9

故答案为
13
9