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
,则x+y 5
=______. 3x+2y+1 x+2y+3
答
设
=x+1 3
=y+3 4
=m,则x+1=3m,y+3=4m,x+y=5m;x+y 5
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