There were five away wins in the 3pm Premier League kick-offs on a day when Jose Mourinho took charge of Tottenham for the first time.
Burnley have announced striker Ashley Barnes has signed a contract extension that will keep him at Turf Moor until 2022.
Pierre-Emerick Aubameyang and Alexandre Lacazette scored either side of Ashley Barnes' goal to give Arsenal a hard-earned home win.
A second-half Pierre-Emerick Aubameyang brace saw Arsenal finish their 2018-19 Premier League season with a victory at Burnley.
Jonathan Walters has suggested Burnley striker Ashley Barnes could be Liverpool's only remaining hope in their title battle with Man City.
Burnley held on to a commendable 2-2 draw away to Chelsea, who disappointingly dropped points again in the top-four battle.
Ashley Barnes scored for both teams as Burnley secured a vital three points away to a sub-par Bournemouth.
Fit-again striker Harry Kane scored on his return to the Tottenham team, but they lost 2-1 at Burnley thanks to a late Ashley Barnes goal.
Tom Heaton made five saves to help Burnley beat Brighton 3-1 and Sean Dyche said his performance was key to the victory.
Chris Wood took his Premier League goal tally to six for the season as Burnley beat Brighton 3-1 to move out of the relegation zone.