Manchester City, the Premier League champions, and Liverpool, who are strongly fancied to challenge them this season, put down markers with impressive wins in their opening games of the new campaign.
City won 2-0 away to Arsenal, who were sixth last season, and the country's highest spenders Liverpool demolished West Ham United 4-0 at Anfield on Sunday.
The champions, attempting to become the first team since Manchester United in 2009 to retain the title, were too good for an Arsenal side playing under new Spanish manager Unai Emery.
England's Raheem Sterling went past two weak challenges to put City ahead in the first quarter of an hour with his 50th league goal, celebrating with a finger to his ear following his mixed 2018 World Cup campaign.
"There's been a lot of talking so I got a little celebration in there," he told Sky Sports.
"It’s just one of those things. I play in an attacking position, it's what I get judged on (scoring goals) and that's all."
Soon after debutant Riyad Mahrez was substituted in the second half, having earlier forced Petr Cech into a good save, Bernardo Silva added the second goal in the 65th minute from an assist by Benjamin Mendy.
City have now lost only one away game in the league -- at Liverpool -- of their last 21, and manager Pep Guardiola was delighted with them.
"We made a good performance in general and day by day we will get better and better," he said.
Emery, meanwhile, will know he has much to do, even before a difficult local derby with Chelsea next weekend.
"In the first half we needed less respect for City and then more aggressive pressing," he said.
"Second half we got better."
Earlier Liverpool strolled to their usual victory over West Ham, whom they have now beaten 4-0, 4-1, 4-1 and 4-0 in the last four meetings.
Last season's Premier League top scorer Mo Salah was on target again, giving Juergen Klopp's side the lead after 19 minutes with a tap-in.
Poor defending cost the London side a second goal just before the interval, to Sadio Mane, who added a third after 53 minutes from an offside position.
Substitute Daniel Sturridge made it four just seconds after coming on near the end.
Sunday's other game was a goalless draw between Southampton and Europa League contestants Burnley.
New signing Joe Hart made some good saves for the visitors, as did Alex McCarthy in the home goal.