Manchester United and Chelsea secured places in the Champions League with wins on the final day of the Premier League season while Watford and Bournemouth were relegated along with bottom club Norwich City.
Aston Villa survived the drop thanks to a 1-1 draw at West Ham United which moved them to 35 points, one more than Bournemouth, who go down despite a 3-1 win at Everton, and Watford who lost 2-3 at Arsenal.
A penalty from Bruno Fernandes and late goal from Jesse Lingard gave United a 2-0 win at Leicester City, who missed out on the Champions League by finishing fifth and will have to settle for a spot in the Europa League.
Chelsea ended fourth after a 2-0 home win over Wolverhampton Wanderers thanks to goals from Mason Mount and Olivier Giroud.