Two goals from Marcus Rashford gave Manchester United a 2-1 victory over Liverpool at Old Trafford, putting them five points clear of their rivals in second place in the Premier League.
United were without the injured Paul Pogba, Rashford taking his place, while Liverpool made five changes from their Champions League game against Porto last week.
The early deadlock was broken after 14 minutes thanks to Rashford, who conjured a superb finish to give United the lead, and he fired home a deflected second soon afterwards.
Liverpool pulled one back when Sadio Mane got down the left and crossed, the ball hitting Bailly on the heel and going into the bottom corner, but Liverpool were unable to find a leveller despite late pressure.
Angry fans protested on the pitch and in front of the directors' box as Burnley deepened West Ham's growing problems with a 3-0 win at the London Stadium.
The Hammers, under pressure after a dip in form that has dragged them back towards danger, almost led before the break but Burnley keeper Nick Pope denied both Marko Arnautovic and Manuel Lanzini.
And after 66 minutes the Hammers were made to pay for those missed openings, Ashley Barnes firing high into the net after Chris Wood had set him up. The goal sparked ugly scenes as home fans came onto the pitch, some confronting players with stewards appearing slow to react.
Chris Wood doubled the lead moments afterwards, and the visitors were home and dry when Joe Hart spilled a long-range shot and Wood tapped home his second as fans protested in front of the directors' box.
Two first-half goals gave Chelsea a 2-1 home victory over a Crystal Palace side whose relegation worries increase.
Willian's strike and a Martin Kelly own goal were enough for the champions despite the visitors producing an improved performance after the break that brought a late goal for Patrick van Aanholt.
Chelsea made the early running in a muted Stamford Bridge atmosphere and struck after 25 minutes, Willian's shot taking a slight deflection off Kelly on its way in.
Eden Hazard and Zappacosta started a move that ended with the ball coming off Hennessey and then off Kelly before going in, and Van Aanholt's reply came too late to rescue Palace.
Newcastle moved five points clear of the relegation zone and added to Southampton's worries by beating them 3-0 at St James' Park.
The Magpies made a whirlwind start and led after just two minutes when Kenedy, on loan from Chelsea, latched on to a Jonjo Shelvey pass to open the scoring.
The Saints mustered a brief spell of pressure in response but always seemed vulnerable to Newcastle counter-attacks and found themselves 2-0 adrift before the break when Ayoze Perez and Dwight Gayle combined stylishly to set up Kenedy for his second.
Before the hour had arrived, Newcastle had sewn up the win, Matt Ritchie firing home after more fine work from Shelvey.
Everton secured three much-needed points as they defeated in-form Brighton 2-0 at Goodison Park.
The home side had the better of the first half but were unable to find a breakthrough against the in-form Seagulls, with Yannick Bolasie close on three occasions.
Bolasie forced Mat Ryan into a fine save, saw another effort zip wide and headed one just over - but the Toffees ended up being grateful to keeper Jordan Pickford, who made a sharp stop to stop Glenn Murray's volley from dipping in.
Just before the hour mark, Everton took the lead when Bolasie's cross from the left is turned into his own net by visiting defender Gaetan Bong with Theo Walcott lurking, and with 76 minutes gone three points were all but confirmed as Cenk Tosun sent a deflected shot beyond Ryan.
The keeper later saved a Wayne Rooney penalty, while Brighton had Anthony Knockaert sent off as their frustration began to show.
West Bromwich Albion were sent even closer to the Championship as Leicester recovered from 1-0 down to win 4-1 at The Hawthorns.
The Baggies began brightly and were ahead inside the opening 10 minutes when Salomon Rondon turned Oliver Burke's fine cross past Kasper Schmeichel, who was soon forced to make a fine save when he tipped a Grzegorz Krychowiak effort onto the crossbar.
But West Brom were pegged back on 21 minutes by a goal of sheer quality, Jamie Vardy on the end of a superb long pass from Riyad Mahrez to crash a finish beyond Ben Foster.
After 62 minutes, West Brom's woes were deepened once again when Mahrez took centre stage to finish off a Kelechi Iheanacho pass, and with 76 minutes gone Ben Chilwell crossed and Iheanacho headed past Ben Foster.
There was still time for things to get worse for beleaguered home boss Alan Pardew as Vicente Iborra notched a fourth in time added on.
Swansea produced a sterling defensive performance to overcome the early sending off of Jordan Ayew and claim a point in a 0-0 draw at Huddersfield Town.
Steve Mounie shot wide for Huddersfield early on, but the major talking point arrived after 11 minutes when the in-form visitors were reduced to 10 men.
It happened when Ayew made a late challenge on Jonathan Hogg and referee Michael Oliver showed him a straight red card, with the Terriers immediately trying to up the pace and Christopher Schindler heading narrowly over.
The pattern of home dominance continued after the break and only an excellent save from Lukasz Fabianski, tipping a Mounie strike over the top, kept the game goalless.