若1/x+1/y=5,求3x+4xy+3y/x+3xy+y的值
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若1/x+1/y=5,求3x+4xy+3y/x+3xy+y的值
若1/x+1/y=5,求3x+4xy+3y/x+3xy+y的值
若1/x+1/y=5,求3x+4xy+3y/x+3xy+y的值
1/x+1/y=5
两边乘以xy得
y+x=5xy
∴x+y=5xy
3x+4xy+3y/x+3xy+y
=[3(x+y)+4xy]/[(x+y)+3xy]
=(15xy+4xy)/(5xy+3xy)
=19xy/8xy
=19/8
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