Alexis Sanchez scored his first Manchester United goal in a 2-0 Premier League win over Huddersfield at Old Trafford.
Leaders Manchester City had earlier been held to a 1-1 draw at Burnley but, despite United's victory, Pep Guardiola's men are still 13 points clear.
There had been tributes to mark the 60th anniversary of the Munich air disaster ahead of the kick-off at Old Trafford.
Romelu Lukaku made the breakthrough on 55 minutes with a close-range finish.
And Sanchez, who joined the Red Devils from Arsenal ahead of the transfer deadline in a swap deal for Henrikh Mkhitaryan, doubled the lead on 68 minutes.
The Chile forward saw his penalty saved by Jonas Lossl but was alert to knock in the rebound.
In Saturday's late game, Aaron Ramsey scored a hat-trick as Arsenal thrashed Everton 5-1 with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
The home side blasted in four in the first half to put the game beyond doubt, leaving their woeful midweek loss at Swansea well behind them.
Ramsey scored twice in the first half, either side of a headed goal from defender Laurent Koscielny.
The Gunners' new record signing, Gabon striker Pierre-Emerick Aubameyang, renewed his scoring partnership with former Borussia Dortmund team mate Henrikh Mkhitaryan in the 38th minute, chipping his neatly flicked-in pass over the onrushing goalkeeper Jordan Pickford.
The win leaves Arsenal unchanged in sixth place in the table, three points adrift of north London rivals Tottenham Hotspur, who visit Liverpool on Sunday.
Huddersfield, for whom Socceroos playmaker Aaron Mooy came on as a substitute, dropped to 19th place following a fifth straight league defeat.
In Saturday's lunchtime kick-off, City had been made to pay for not taking their chances at Burnley, who are placed seventh.
Danilo had fired City ahead with a superb strike in the 22nd minute.
But Raheem Sterling missed a golden chance to stretch City's lead in the 71st minute when he struck wide from a metre out with the goal at his mercy.
The Clarets grew in confidence and were rewarded when Johann Berg Gudmundsson turned in Matt Lowton's cross to earn Sean Dyche's side a point.
Asked what he made of the result, City boss Pep Guardiola said simply: "One-one. We tried to score a second."
On Sterling's glaring miss, he added: "In football, sometimes it happens. Next time we play to score."
Southampton dragged themselves out of the relegation zone with a 3-2 win at bottom club West Brom, who held a minute's applause ahead of the game in memory of former Baggies striker Cyrille Regis.
Socceroos keeper Mat Ryan's Brighton boosted their hopes of staying clear of the relegation scrap with a 3-1 home win over West Ham.
Glenn Murray put the hosts ahead on eight minutes but the Hammers were level on the half-hour through a well-taken goal by Mexico forward Javier Hernandez.
Winger Jose Izquierdo lashed in a superb angled strike on 61 minutes to put Brighton back in front, with Pascal Gross drilling home a third after 75 minutes, securing their first league win this year.
Bournemouth continued their good form with a couple of late goals to beat Stoke 2-1 at home.
The Cherries, who won 3-0 at Chelsea in midweek, had to come from behind after Stoke took the lead after just five minutes through Xherdan Shaqiri's header.
But Josh King equalised, and on 79 minutes substitute Lys Mousset headed in Jordon Ibe's free-kick at the back post to secure all three points.
Leicester, again without forward Riyad Mahrez, who had missed training in the wake of a deadline-day move to Manchester City falling through, drew 1-1 with Swansea, for whom Federico Fernandez cancelled out Jamie Vardy's opener.