Premier League leaders Arsenal needed two own goals, the second deep in stoppage time, to scrape a 2-1 home win over bottom club Wolverhampton Wanderers and open a five-point gap, while earlier on Saturday Mohamed Salah put aside a tumultuous week to help Liverpool beat Brighton and Hove Albion 2-0.
Eberechi Eze scored a majestic hat-trick as Arsenal trounced north London rivals Tottenham Hotspur 4-1 to open up a commanding six-point lead.
IMAGES from the Premier League matches played on Sunday
Erling Haaland took his league tally this season to 11 in eight games with both goals in City's 2-0 home win over Everton -- a result that temporarily put City above Arsenal on goals scored.
Crystal Palace scored a stoppage-time winner to edge Liverpool 2-1 while Manchester United and Chelsea lost by an identical 3-1 margin in the English Premier League on Saturday.
Arsenal's miserly defence has conceded three Premier League goals so far this season and manager Mikel Arteta hopes their fortress-like foundation can finally deliver the silverware that has eluded the North London club for so long.
Chelsea clinched their first Premier League title for five years with a 1-0 victory against Crystal Palace at a jubilant Stamford Bridge on Sunday.
Robin van Persie and Wayne Rooney were on target as Manchester United secured a 2-0 home win over 10-man CrystalPalace on Saturday with a workmanlike display that will have done little to worry their Premier League title rivals.
Mikel Arteta scored Premier League leaders Arsenal's first goal in a 2-0 win over Crystal Palace on Saturday but was later sent off in the early kickoff in south London.
Manchester City seized the opportunity of Arsenal's 2-1 loss at Aston Villa earlier in the day to climb within two points of the leaders.
Arsenal's Calafiori secures 1-0 win at Manchester United; Crystal Palace hold Chelsea to 0-0 draw.
Arsenal marked Mikel Arteta's 300th game in charge with a convincing 2-0 home victory over West Ham United in the Premier League on Saturday.
Second-tier side Crystal Palace stunned Premier League champions Manchester United to win 2-1 after extra time in their League Cup quarter-final at Old Trafford on Wednesday and set up a semi-final against Cardiff City in January.
It took 10 Premier League games for the first cracks to appear in Manchester City's facade last season, but Pep Guardiola got a much earlier reminder of his side's fall from grace on Saturday in another defeat to Tottenham Hotspur.
Manchester United manager Ruben Amorim would have enjoyed some relative calm during the international break after backing from club co-owner Jim Ratcliffe but will find himself in the Premier League maelstrom once again at Liverpool on Sunday.
Man City ease to 3-0 win over Liverpool as Guardiola celebrates 1,000th game in style
First-half goals by Jakub Kiwior and Leandro Trossard looked like being enough for a lacklustre Arsenal against a lively Palace side who equalised with an Eberechi Eze volley.
Liverpool striker Christian Benteke is having a medical before completing his move to Crystal Palace, the London club's manager Alan Pardew said on Friday.
Liverpool end victorious season with 1-1 draw with Crystal Palace
Alan Pardew's dream of reprising a celebrated 25-year-old FA Cup triumph was scuppered by Liverpool as the seven-times champions came from behind to book a place in the quarter-finals with a 2-1 win at Crystal Palace on Saturday. This year's shock-laden competition had continued with second-tier Blackburn Rovers' 4-1 thrashing of the Premier League's Stoke City.
A summary of Saturday's action in the Premier League.
Millwall goalkeeper Liam Roberts has had his suspension for a high-footed challenge on Crystal Palace forward Jean-Philippe Mateta extended to six matches, the FA said on Friday.
The commanding scoreline in the cross-town London derby came despite Chelsea's midfield talisman Cole Palmer being ruled out after he felt discomfort on the pitch during the pre-match warmup.
Lewis-Skelly gets England call-up; Recalls Rashford, Henderson return.
A round-up of Saturday's action in the Premier League.
IMAGES from the Premier League matches played on Sunday.
Liverpool's Salah named Premier League player of the season, Gravenberch best youngster
Newcastle United registered a 2-0 home win over Chelsea on Sunday that moves the Magpies a step closer to Champions League football next season.
IMAGES from the English Premier League matches played on Saturday
Liverpool's Dominik Szoboszlai struck the first telling blow in the Premier League title race with a dazzling free kick late on giving his side a 1-0 victory over rivals Arsenal.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
A round-up of Saturday's fifth round action in the FA Cup
Images from the English Premier League matches played on Saturday
Brighton & Hove Albion substitute Jack Hinshelwood struck a late winner as the hosts came from behind to grab a 3-2 victory over champions Liverpool.
Arne Slot is the first to win the top flight in England where many of his compatriots have suffered dents to their reputations over the years.
A round-up of Saturday's action in the Premier League.
Ange Postecoglou ultimately paid the price for an horrendous English Premier League season which saw Tottenham finish 17th.
A round-up of Saturday's action in the Premier League.
Jarrod Bowen converted a last-gasp penalty to lift West Ham United to a 2-1 Premier League victory over Manchester United in a fluctuating clash between two struggling sides on Sunday.
Selhurst Park continues to prove a bafflingly tough place to play for United, who have not won there in their past five games and have just one goal to show for that stretch.
