Tottenham Hotspur scored a 2-0 victory at Manchester City, whilst Arsenal posted a 3-2 victory at Blackburn Rovers.
Spaniard Pedro scored twice as Chelsea tightened their grip on top spot by sweeping past Bournemouth 3-0 on Monday, a club record 12th successive Premier League win taking them seven points clear.
Fulham and Bolton Wanderers earned English Premier League lifelines on Saturday with victories over Reading and West Ham United respectively to keep their survival hopes alive with four games remaining. Goals by Brian McBride and Erik Nevland secured Fulham's 2-0 win, their first away success in the league in 19 months, while Bolton ended a dire run with a 1-0 home victory over West Ham courtesy of a Kevin Davies goal.
Images from the EPL match played between Manchester United and Watford on Sunday.
Holders Chelsea moved into the semi-finals of the English League Cup with a 2-0 victory over Liverpool.
Photos and summary of the English Premier League matches played on Tuesday, including the story of Chelsea's resurgent win
Manchester City's impressive 2-0 victory at Everton on Sunday equalled a club record of nine successive Premier League wins.
Manchester City claimed the win required to finally end Liverpool's relentless attempt to dethrone them as Premier League champions as they hit back from a goal down to crush Brighton and Hove Albion on the south coast on Sunday.
There will be no seismic shifts in the balance of the world's richest football competition if the first weekend of the new Premier League season is anything to go by.
First-half goals by Danny Welbeck and Alex Iwobi earned Arsenal a first win in four league games to revive their Premier League title hopes in the early kickoff at Goodison Park on Saturday.
Manchester United's struggle to achieve a top-four finish continued on Tuesday as Zlatan Ibrahimovic came to their rescue with an added time penalty to salvage a 1-1 draw against Everton in their Premier League clash at Old Trafford.
Former Everton, Manchester United and Sunderland manager Moyes, who replaced the sacked Slaven Bilic, has a track record of turning to a good old-fashioned No. 9 to grind out results.
News of all that's transpired on and off the football field
Tottenham Hotspur striker Harry Kane is loving his duel with Leicester City forward and England team mate Jamie Vardy for the Premier League golden boot this season.
ManchesterCity and Manchester United scored 10 goals between them and boosted their title aspirations with convincing wins over NorwichCity and Fulham respectively on an eventful afternoon in the Premier League on Saturday.
With Liverpool still to visit Chelsea, who trail them by nine points with two games in hand, Juergen Klopp's side may have to beat Brighton & Hove Albion on May 13 and rely on their superior goal difference to qualify for the Champions League, assuming they do not secure it by winning this year's trophy.
Chelsea moved 12 points clear of Arsenal, who suffered their fourth defeat in nine league matches, while fourth-placed Liverpool fell 13 point adrift after their wretched 2017 continued with a shock 2-0 defeat at resurgent Hull City.
Record signing Mesut Ozil is now over his key penalty miss against Bayern Munich having ended a three month goal drought with a dynamic display in the FA Cup win over Everton, Arsenal manager Arsene Wenger said.
Images from the English Premier League matches played on Saturday
The momentum that swept Leicester City away from relegation last season continued unabated at West Ham United on Saturday as their 2-1 win left them top of the Premier League.
Manchester United stretched their unbeaten run to 11 games in all competitions after Daley Blind, in-form striker Zlatan Ibrahimovic and substitute Henrik Mkhitaryan gave them a 3-1 home win over Sunderland on Monday. Left back Blind fired United ahead with a crisp 39th-minute shot after Ibrahimovic teed him up perfectly. The towering Swede doubled the lead with a clinical 82nd-minute finish for his 17th goal of the season. Fit-again Mkhitaryan put the icing on the cake with a spectacular backheel effort after a sharp Ibrahimovic cross from the right, although television replays suggested the Armenian was marginally offside. Striker Fabio Borini gave Sunderland fans something to cheer with a dipping late volley.
Arsenal will not sell striker Olivier Giroud, midfielder Jack Wilshere and winger Theo Walcott in the January transfer window despite their lack of playing time at the Premier League club, manager Arsene Wenger has said.
Manchester City manager Pep Guardiola finds nothing abnormal in his team's 2-0 defeat at Tottenham Hotspur but wants the side to learn from Sunday's loss and put their Premier League campaign back on track.
Jota's header earned the three points but it was a struggle in the rain for Juergen Klopp's side who looked uneasy at the back without the injured Virgil van Dijk.
Two superb curling efforts from Jordan Henderson and Philippe Coutinho handed Liverpool a 2-1 home win against Manchester City in the Premier League on Sunday to deliver a thumping blow to Manuel Pellegrini's title aspirations.
Swedish striker Zlatan Ibrahimovic returned to Manchester United on a year-year contract "to finish what I started," the 35-year-old announced in a club statement on Thursday.
News of all that's transpired on and off the football field.
Photos from the English Premier League matches played on Saturday
If City win their next league game at Everton on March 31 that will set up a Manchester derby at City's Etihad Stadium where a win over their arch-rivals would secure the title.
Liverpool fielded a starting lineup consisting mainly of reserves and youth team players with an average age of 19.4, a club record.
A round-up off all transpired on and off the football pitch
Watford's hopes of avoiding relegation suffered a double blow on Tuesday when they were thrashed 4-0 at home by Manchester City and then slipped into the Premier League relegation zone after fellow strugglers Aston Villa beat Arsenal in the late game.
Following is a match by match look at the English Premier League's weekend fixtures:
Manchester City set a new top-flight record of 15 consecutive wins as their seemingly unstoppable march towards the English Premier League title continued with a 4-0 romp at bottom club Swansea City.
Late goals from Nicklas Bendtner and Theo Walcott spared Arsenal's blushes and kept them top of the Premier League in a 2-0 victory over Cardiff City as title rivals Manchester City and Chelsea also won on Wednesday.