Manchester City improved their prospects of qualifying for the Champions League with a 5-0 demolition of Crystal Palace, while Swansea's 1-0 win over Everton pushed Hull into the relegation zone on Saturday.
Frustrated by damaging draws in their previous two games, City got back on track and climbed to third in the table after a stylish display inspired by David Silva's return from injury at Eastlands.
Silva, out for a fortnight after suffering a blow to his knee during the FA Cup semi-final defeat by Arsenal, opened the scoring after two minutes.
Vincent Kompany doubled City's lead in the 49th minute before Kevin De Bruyne's long-range strike made it three 10 minutes later.
Raheem Sterling's cool finish in the 82nd minute was followed by Nicolas Otamendi's diving header in stoppage-time as City leapfrogged Liverpool on goal difference.
Manchester City's Kevin De Bruyne celebrates scoring with Leroy Sane against Crystal Palace
Reuters Pep Guardiola's side also moved four points clear of fifth placed Manchester United as the battle to finish in the top four heats up.
United, who travel to Arsenal, and Liverpool, who host Southampton, are both in action on Sunday.
At the KCOM Stadium, already relegated Sunderland won 2-0, securing their first victory in 11 games to leave Hull in severe danger of joining them in the Championship next season.
Hull boss Marco Silva had been unbeaten in his previous 41 home league games, a record dating back to his time in charge of Portuguese side Estoril in 2014 and encompassing spells with Sporting Lisbon and Olympiakos.
Having taken 19 points from a possible 21 at home during his four months as Hull boss, it was a shock to the Portuguese coach when his side fell behind in the 69th minute.
John O'Shea flicked on a corner and Billy Jones launched into a diving header that flashed past Eldin Jakupovic.
Abel Hernandez was denied an equaliser by Jordan Pickford's superb save and Jermain Defoe steered in from an offside position to add to Hull's misery two minutes into stoppage-time.
Just hours after the final whistle in Hull, there was even worse news for the Tigers from the Liberty Stadium as Swansea climbed out of the bottom three.
Fernando Llorente won it for Paul Clement's team after 29 minutes with a close-range header from Jordan Ayew's cross.
Fourth bottom Swansea are one point clear of Hull with two games remaining.
Swansea City's Jordan Ayew in action with Everton's Leighton Baines
Reuters Bournemouth secured their top-flight status for another year after a 2-2 draw against Stoke at Dean Court.
When a Stoke corner curled into the penalty area in the 33rd minute, Bournemouth's France Under-20 international Lys Mousset, making his first Premier League start, glanced the ball into his own net, giving the visitors their first away league goal in more than 10 hours.
Junior Stanislas equalised for Bournemouth in the 62nd minute before Stoke's Mame Biram Diouf bundled in his first goal for 12 months in the 73rd minute.
Eddie Howe's side rescued their priceless point thanks to an 81st minute own goal from Stoke defender Ryan Shawcross.
Burnley were made to wait to confirm their survival after being held to a 2-2 draw by West Bromwich Albion at Turf Moor.
Leicester piled pressure on under-fire Watford manager Walter Mazzarri with a 3-0 win at the King Power Stadium, the goals coming from Wilfred Ndidi, Riyad Mahrez and Marc Albrighton.
RESULTS:Swansea City 1 Fernando Llorente 29
Everton 0Bournemouth 2 Junior Stanislas 62, Ryan Shawcross 81(og) Stoke City 2 Lys Mousset 33(og), Mame Biram Diouf 73
Burnley 2 Sam Vokes 56,86
West Bromwich Albion 2 Salomon Rondon 66, Craig Dawson 78
Hull City 0 Sunderland 2 Billy Jones 69, Jermain Defoe 90+2
Leicester City 3 Wilfred Ndidi 38, Riyad Mahrez 58, Marc Albrighton 90+3
Watford 0Manchester City 5 David Silva 2, Vincent Kompany 49, De Bruyne 59, Sterling 82, Otamendi 90+2
Crystal Palace 0Standings P W D L F A
Pts1
Chelsea 34 26 3 5 72 29
812
Tottenham Hotspur 35 23 8 4 71 23
773
Manchester City 35 20 9 6 70 37
694
Liverpool 35 20 9 6 71 42
695
Manchester United 34 17 14 3 51 25
656
Arsenal 33 18 6 9 64 42
607
Everton 36 16 10 10 60 41
588
West Bromwich Albion 35 12 9 14 41 45
459
Leicester City 35 12 7 16 45 54
4310
Bournemouth 36 11 9 16 52 65
4211
West Ham United 36 11 9 16 45 59
4212
Southampton 33 11 8 14 39 44
4113
Stoke City 36 10 11 15 39 52
4114
Burnley 36 11 7 18 37 51
4015
Watford 35 11 7 17 37 58
4016
Crystal Palace 36 11 5 20 46 61
3817
Swansea City 36 10 5 21 41 69
3518
Hull City 36 9 7 20 36 69
3419
Middlesbrough 35 5 13 17 26 45
28R20
Sunderland 35 6 6 23 28 60
24 
Manchester City's Kevin De Bruyne celebrates scoring with Leroy Sane against Crystal Palace Reuters Pep Guardiola's side also moved four points clear of fifth placed Manchester United as the battle to finish in the top four heats up.
United, who travel to Arsenal, and Liverpool, who host Southampton, are both in action on Sunday.
At the KCOM Stadium, already relegated Sunderland won 2-0, securing their first victory in 11 games to leave Hull in severe danger of joining them in the Championship next season.
Hull boss Marco Silva had been unbeaten in his previous 41 home league games, a record dating back to his time in charge of Portuguese side Estoril in 2014 and encompassing spells with Sporting Lisbon and Olympiakos.
Having taken 19 points from a possible 21 at home during his four months as Hull boss, it was a shock to the Portuguese coach when his side fell behind in the 69th minute.
John O'Shea flicked on a corner and Billy Jones launched into a diving header that flashed past Eldin Jakupovic.
Abel Hernandez was denied an equaliser by Jordan Pickford's superb save and Jermain Defoe steered in from an offside position to add to Hull's misery two minutes into stoppage-time.
Just hours after the final whistle in Hull, there was even worse news for the Tigers from the Liberty Stadium as Swansea climbed out of the bottom three.
Fernando Llorente won it for Paul Clement's team after 29 minutes with a close-range header from Jordan Ayew's cross.
Fourth bottom Swansea are one point clear of Hull with two games remaining.
Swansea City's Jordan Ayew in action with Everton's Leighton Baines Reuters Bournemouth secured their top-flight status for another year after a 2-2 draw against Stoke at Dean Court.
When a Stoke corner curled into the penalty area in the 33rd minute, Bournemouth's France Under-20 international Lys Mousset, making his first Premier League start, glanced the ball into his own net, giving the visitors their first away league goal in more than 10 hours.
Junior Stanislas equalised for Bournemouth in the 62nd minute before Stoke's Mame Biram Diouf bundled in his first goal for 12 months in the 73rd minute.
Eddie Howe's side rescued their priceless point thanks to an 81st minute own goal from Stoke defender Ryan Shawcross.
Burnley were made to wait to confirm their survival after being held to a 2-2 draw by West Bromwich Albion at Turf Moor.
Leicester piled pressure on under-fire Watford manager Walter Mazzarri with a 3-0 win at the King Power Stadium, the goals coming from Wilfred Ndidi, Riyad Mahrez and Marc Albrighton.RESULTS:Swansea City 1 Fernando Llorente 29 Everton 0Bournemouth 2 Junior Stanislas 62, Ryan Shawcross 81(og) Stoke City 2 Lys Mousset 33(og), Mame Biram Diouf 73Burnley 2 Sam Vokes 56,86 West Bromwich Albion 2 Salomon Rondon 66, Craig Dawson 78Hull City 0 Sunderland 2 Billy Jones 69, Jermain Defoe 90+2Leicester City 3 Wilfred Ndidi 38, Riyad Mahrez 58, Marc Albrighton 90+3 Watford 0Manchester City 5 David Silva 2, Vincent Kompany 49, De Bruyne 59, Sterling 82, Otamendi 90+2 Crystal Palace 0Standings P W D L F A Pts1 Chelsea 34 26 3 5 72 29 812 Tottenham Hotspur 35 23 8 4 71 23 773 Manchester City 35 20 9 6 70 37 694 Liverpool 35 20 9 6 71 42 695 Manchester United 34 17 14 3 51 25 656 Arsenal 33 18 6 9 64 42 607 Everton 36 16 10 10 60 41 588 West Bromwich Albion 35 12 9 14 41 45 459 Leicester City 35 12 7 16 45 54 4310 Bournemouth 36 11 9 16 52 65 4211 West Ham United 36 11 9 16 45 59 4212 Southampton 33 11 8 14 39 44 4113 Stoke City 36 10 11 15 39 52 4114 Burnley 36 11 7 18 37 51 4015 Watford 35 11 7 17 37 58 4016 Crystal Palace 36 11 5 20 46 61 3817 Swansea City 36 10 5 21 41 69 3518 Hull City 36 9 7 20 36 69 3419 Middlesbrough 35 5 13 17 26 45 28R20 Sunderland 35 6 6 23 28 60 24 