bayonets

Just a question.Given how flintlocks have been invented in 1610,is there a reason as to why most armies only phased out pike and shot in favor of flintlock and bayonets in the late 17th to early 18th century?

AFAI read when the bayonet was invented, the division between riflemen and pikeneers became unnecessary since a rifle with a bayonet can do both jobs. Since the bayonet isn't really the most complicated weapon to invent (I am not an expert, though) I wonder what had happened if the armies had...