已知x分之1+y分之1=5,求3x一5xy+3y÷x+xy+y(两种解法)

已知x分之1+y分之1=5,求3x一5xy+3y÷x+xy+y(两种解法)
2025-06-22 01:54:20
推荐回答(1个)
回答1:

解:已知x分之1+y分之1=5,
得xy分之y+xy分之x=5
xy分之(y+x)=5
得x+y=5xy
得(3x-5xy+3y)÷(x+xy+y)
=[(3x+3y)-5xy]÷[(x+y)+xy]
=[(x+y)×3-5xy]÷[(x+y)+xy]
=(5xy×3-5xy)÷(5xy+xy)
=(15xy-5xy)÷6xy
=10xy÷6xy
=3分之5
即已知x分之1+y分之1=5,则(3x-5xy+3y)÷(x+xy+y)=3分之5.