Everton kept Premier League survival in their own hands as Richarlison scored the only goal of a vital 1-0 win over Chelsea.
Gabriel Jesus scored four goals as Manchester City thrashed Watford 5-1 to open up a four-point lead in the Premier League title race, while Arsenal beat Manchester United 3-1 to take control of the race for fourth as Tottenham Hotspur were held to a 0-0 draw by Brentford.
Premier League leaders Manchester City and their relentless challengers Liverpool will expect to stay neck and neck in the title race after this weekend's matches.
Catch up with highlights of the Premier League as Cristiano Ronaldo netted his 50th club hat-trick as Manchester United moved to within three points of Tottenham Hotspur in fourth with a battling 3-2 victory over Norwich City.
Cristiano Ronaldo scored a hat-trick as Manchester United claimed a 3-2 win over Norwich on Saturday to take advantage of defeats for Arsenal and Tottenham in the race for a place in next season's Champions League.
Manchester United have appointed the architects behind the Tottenham Hotspur Stadium to draw up plans for a redevelopment of their ageing Old Trafford ground.
The Premier League title race is on a knife-edge after Manchester City retained pole position with a pulsating 2-2 draw against their closest challengers Liverpool.
Tottenham powered into fourth place in the Premier League with a 5-1 rout of Newcastle, while West Ham's 2-1 victory pushed Everton deeper into relegation trouble on Sunday.
Son Heung-min fired Tottenham to a crucial 3-1 win against West Ham as the South Koreans double lifted his side within three points of the Premier League's top four on Sunday.
Tottenham manager Antonio Conte has slammed Arsenal boss Mikel Arteta for complaining about the Gunners' crowded fixture schedule.