A full summary of Saturday's Premiership results
Celtic and Hearts cruised to victory, while St Mirren and Kilmarnock also won.
Celtic cruised to victory over Livingston after the Champions flag was unfurled.
Tom Rogic started the scoring in Glasgow's east end with a rare headed goal from Jonny Hayes' tempting cross.
Record signing Odsonne Edouard doubled the Hoops' advantage on 28 minutes by rounding off a sweeping counter-attack following a Livi corner.
Olivier Ntcham converted a penalty after the break following a foul on Callum McGregor to make it three.
Newly-promoted Livi bagged a late consolation when Scott Robinson scored after the ball fell his way in the box.
Hearts came from behind to thrash Hamilton on the opening day.
Mickel Miller opened his league goalscoring account to give Accies the lead, but Hearts got back on level terms on 20 minutes when Peter Haring headed in Steven Naismith's cross.
Craig Levein's side took control in the second half. Naismith converted a penalty after he was brought down to complete the turnaround.
Haring then latched onto Christophe Berra's knockdown to slam home his second goal of the afternoon.
Summer signing Steven Maclean made it four with a clinical finish on the hour mark to put the result beyond doubt.
Kilmarnock scored twice in the second half to get off to a winning start.
Chances were hard to come by in a scrappy first half at Rugby Park.
Defender Scott Boyd capitalised on an opportunity after the break, though, by tapping in the opener after Zander Clark fumbled Lee Erwin's effort.
Killie doubled their lead late on in style when Mikael Ndjoli found the top corner from 25 yards with a stunning strike.
Danny Mullen scored a double as newly-promoted St Mirren beat Dundee.
The Buddies forward flicked Paul McGinn's tempting cross over Dark Blues keeper Jack Hamilton to give Alan Stubbs' side the lead on nine minutes.
Dundee equalised three minutes later, though, when Elton Ngwatala drilled the ball into the net from the edge of the box for his first Premiership goal.
Neil McCann's side were awarded a golden opportunity to grab the lead from the penalty spot but Craig Samson saved from Sofien Moussa to make amends after giving away the spot kick.
Dundee were made to pay late on when goalkeeper Hamilton was robbed of the ball by Ryan Flynn and the winger put it on a plate for Mullen to bag his second.