Champions Manchester City put on a show at the Etihad Stadium as they swept Swansea aside with a five-goal demolition.
Chelsea will meet Manchester United in next month's FA Cup final following a 2-0 win over Southampton.
Stoke City were unable to register a much-needed victory at home to Burnley as the visitors hit back to secure a 1-1 draw.
Arsenal scored three times in the final eight minutes to secure a 4-1 victory against West Ham at the Emirates Stadium.
Manchester United have booked their place in the FA Cup final after coming from behind to beat Tottenham 2-1 at Wembley.
Watford and Crystal Palace both had chances but were unable to be separated as they drew 0-0 at Vicarage Road.
Mohamed Salah's 31st Premier League goal of the campaign was not enough as Liverpool were held to a 2-2 draw at West Brom.
Southampton’s hopes of avoiding relegation suffered a blow as they were held to a 0-0 draw against Leicester at the King Power Stadium.
Chelsea kept alive their hopes of a top-four Premier League finish with a 2-1 win against Burnley at Turf Moor.
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Manchester United put Sunday's disappointment behind them with what was ultimately a straightforward win over Bournemouth.
Andy Carroll’s last minute volley denied relegation-haunted Stoke City a massive three points in a 1-1 draw at the London Stadium.
West Brom kept alive their slim survival hopes and handed Manchester City the Premier League title with a 1-0 win at Manchester United.
Newcastle United came from behind to beat poor travellers Arsenal 2-1 and register their fourth victory in a row.
Mohamed Salah grabbed his 30th Premier League goal of the season as Liverpool beat Bournemouth 3-0 at Anfield on Saturday.
Manchester City have moved a step closer to the Premier League title after beating Tottenham 1-3 at Wembley on Saturday night.
Swansea City remain in the relegation mire after being held to a 1-1 draw by Everton at the Liberty Stadium.
Crystal Palace edged a five-goal thriller 3-2 against Brighton to move six points clear of the Premier League relegation zone.
Burnley defied late pressure to earn a 2-1 victory over Leicester City thanks to two goals in the opening nine minutes at Turf Moor.
Tom Ince grabbed a last-gasp winner as Huddersfield Town eased their relegation concerns with a 1-0 victory against mid-table Watford.
Chelsea roared back from two goals down to record a 3-2 victory at Southampton, with substitute Olivier Giroud scoring twice.
Arsenal sealed their place in the Europa League last-four 6-3 on aggregate after a 2-2 quarter-final second leg draw at CSKA Moscow.
A last-gasp Cristiano Ronaldo penalty sent Real Madrid through to the Champions League semi-finals despite them losing 3-1 to Juventus.
Bayern Munich eased through to the last four of the Champions League as they drew 0-0 with Sevilla in the Allianz Arena.
Roma produced a stunning comeback as they defeated Barcelona 3-0 to seal a Champions League semi-final place on away goals.
Liverpool sealed their place in the Champions League semi-finals 5-1 on aggregate after coming from behind to beat Manchester City 2-1.
Javier Hernandez grabbed a second-half equaliser to hand West Ham a vital point in a 1-1 draw against Chelsea at Stamford Bridge.
Danny Welbeck ended his goal drought as much-changed Arsenal came from behind to beat relegation-threatened Southampton 3-2.
Manchester United mounted a stunning comeback to upset Manchester City's Premier League title party with a 3-2 win at the Etihad.
Harry Kane made a welcome return to the Premier League although it was Christian Eriksen who scored the goals to secure the win.
Second-half goals from Sam Vokes and Jack Cork ensured Burnley continued their march towards the Europa League.
Brighton were reduced to 10 men but managed to claim a point in a 1-1 draw with Huddersfield at the Amex Stadium.
Tammy Abraham cancelled out Jay Rodriguez's opener as Swansea secured a 1-1 draw at relegation-haunted West Brom.
Joshua King snatched a point for Bournemouth as the Cherries twice came from behind to draw 2-2 with Crystal Palace.
Jonjo Shelvey and Ayoze Perez were on target as Newcastle beat Leicester 2-1 at the King Power Stadium.
The 231st Merseyside derby ended in a 0-0 draw as Everton and Liverpool failed to produce any penetration at a rainy Goodison Park.
Arsenal have a great chance of reaching the last-four of the Europa League after a 4-1 quarter-final first leg win against CSKA Moscow.
A first half blitz from Liverpool saw them record a famous 3-0 Champions League quarter-final first leg win over Manchester City.
Barcelona were rarely troubled as they cruised to comfortable 4-1 Champions League quarter-final first leg victory over Roma.
Cristiano Ronaldo scored twice, including a stunning overhead effort, as Real Madrid won 3-0 at Juventus in the Champions League.
Bayern Munich came from behind to secure a 2-1 Champions League quarter-final first leg win at Sevilla.
January recruit Pierre-Emerick Aubameyang scored twice as Arsenal overcame lowly Stoke City 3-0 at the Emirates Stadium.
Tottenham cemented their place in the Premier League's top-four places with a first win against Chelsea at Stamford Bridge since 1990.