Wayne Rooney's 188th Premier League goal earned Manchester United a first win in nine attempts in all competitions as they beat Swansea 2-1 at Old Trafford.
After a goalless first half, United broke the deadlock two minutes into the second period when Anthony Martial headed in from Ashley Young's cross.
Gylfi Sigurdsson made it 1-1 for Swansea when the midfielder connected with Modou Barrow's cross to send the ball beyond goalkeeper David De Gea.
United hit back thanks to fine work by Martial who found Rooney, with the striker's smart flick beating goalkeeper Lukasz Fabianski.
Arsenal opened up a two-point lead at the top of the table as they claimed an unconvincing 1-0 win over Newcastle United at Emirates Stadium.
Petr Cech made some vital saves for Arsene Wenger's side, with Newcastle's Georginio Wijnaldum frustrated by the goalkeeper.
The Gunners took the lead against the run of play when Laurent Koscielny bundled in from close range after Olivier Giroud won a header in the penalty area.
Yaya Toure and Sergio Aguero both scored in a three-minute span to spark Manchester City to a 2-1 win at Watford on Saturday.
City had fallen behind 10 minutes after half-time thanks to an Aleksandar Kolarov own goal following a Watford corner.
And the hosts held City at bay until the 82nd minute when Toure reacted first to volley in a corner kick at the near post.
The comeback was quickly completed as Aguero hung in the air to redirect a cross with his head for his first Premier League goal away from home this season.
Michail Antonio and Andy Carroll scored headed goals as West Ham United defeated Liverpool 2-0 at Upton Park in the day's early kickoff.
West Ham took the lead in the 10th minute when Antonio headed in powerfully from Enner Valencia's fantastic cross.
Manuel Lanzini then struck the woodwork for the Hammers with a swerving effort, and then up the other end Emre Can's effort clipped the top of the crossbar before half-time.
Carroll put West Ham 2-0 up 10 minutes into the second half with another superb header from Mark Noble's delivery into the box.
Riyad Mahrez failed to score a second-half penalty as high-flying Leicester City were held to a 0-0 draw at home to Bournemouth.
Bournemouth goalkeeper Artur Boruc denied Mahrez from the penalty spot after Jamie Vardy was adjudged to have been brought down by Simon Francis, who received a red card.
The Foxes are now three top-flight games without a win after losing at Liverpool and drawing at home to Manchester City.
An injury-time goal from Jonny Evans saw West Bromwich Albion beat in-form Stoke City 2-1 at The Hawthorns.
West Brom broke the deadlock on the hour mark when Stephane Sessegnon received James Morrison's pass and then powered home.
Jonathan Walters equalised for Stoke with nine minutes left on the clock, heading in Joselu's cross from the left.
Stoke were reduced to 10 men when Geoff Cameron reacted to a challenge from Claudio Yacob, and West Brom struck late with Evans scoring from close range.
Sunderland ended a run of five straight losses with a 3-1 triumph over Aston Villa at the Stadium of Light.
Villa went behind on 30 minutes when Patrick van Aanholt's deflected shot beat goalkeeper Brad Guzan.
The visitors responded through Carles Gil who met Adama Traore's cross to the back post with a tremendous volley on 63 minutes.
Sunderland retook the lead in the 72nd minute when Jermain Defoe latched onto Adam Johnson's pass before finishing into the corner.
Defoe grabbed his second of the game in injury time to wrap up the three points as he finished in clinical fashion.
Norwich City made it back-to-back wins with a 1-0 victory over out-of-form Southampton at Carrow Road.
Shortly after Southampton's Victor Wanyama received a second yellow card, Norwich made their numerical advantage pay as Alexander Tettey found the top corner.