Bruno Fernandes starred with a hat-trick in Manchester United's 5-2 rout of Ipswich, while Chelsea extended Xabi Alonso's perfect start with a thrilling 4-3 win against Brighton on Sunday.
Fernandes shone as he ensured United bounced back from their humiliating 2-0 defeat at Hull on the opening weekend of the Premier League season.
Boss Michael Carrick was in danger of another embarrassing loss to a promoted club when Leif Davis put Ipswich ahead at Old Trafford with a 29th minute strike that cannoned in off the crossbar.
But the Fernandes show started in the 40th minute after Marcelino Nunez's slip allowed Matheus Cunha to pick out the United captain for a sumptuous finish.
United went in front in the 56th minute when Jacob Greaves was presured into an own goal.
Greaves deflected Harry Maguire's shot into his own net, with Ipswich's appeals for handball against the United defender snubbed by VAR.
Completing a miserable five minutes for Greaves, the Ipswich defender conceded a penalty with his foul on Cunha and United captain Fernandes stepped up to slot home from the spot.
Fernandes sealed his treble in the 68th minute, sweeping in from close-range after Kobbie Mainoo and Bryan Mbeumo had shots blocked.
It was Fernandes's second league hat-trick for United following his treble against Leeds five years ago.
Fernandes was not finished and Bryan Mbeumo scored from his pass with a lob that clipped the bar and dropped over the line in the 82nd minute.
Chuba Akpom's stoppage-time tap-in was little consolation for out-classed Ipswich, who were beaten for the first time since returning to the top-flight.
"It was a massive result for us. We lost three points last week. First game at home, the fans have been waiting for this," Fernandes said.
"Scoring goals is the best feeling in football. Doing a hat-trick at home with our fans is something I'm proud of. I hope I can do much more and help my team-mates score too."
Joao Pedro, Morgan Rogers and Cole Palmer all scored when Alonso's reign as Chelsea boss kicked off with a 3-2 win at Fulham on Monday.
And Pedro and Palmer were back on target, while Rogers teed up Chelsea's second goal, scored by Pedro Neto, as the Blues held off a rally from Brighton at Stamford Bridge.
