Ayew, returning from a three-match suspension, fired home from Tom Carroll's cross in the 72 minute to cancel out Kyle Naughton's first-half own goal.
Swansea have picked up form dramatically under Carlos Carvalhal but conceded an own goal late on in the first 45 minutes to give Everton the lead.
He's back on Saturday.
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Western diplomats said they were ready to allow time for negotiations to make every effort to bring Russian Federation aboard. The Ministry of Defence (MoD) said that four RAF Tornado jets were deployed to launch missiles at a Syrian military facility.
The result moved them onto 33 points from as many games - five points clear of third-bottom Southampton.
Everton finally enjoyed some decent possession before the interval and made it count after Michael Keane had headed wide at the far post.
The Swansea keeper was similarly sharp in keeping out Bolasie's follow-up but that rebound struck Naughton and crossed the line before Alfie Mawson could hack clear.
Tosun's quick free kick sent Theo Walcott scampering clear but Fabianski left his penalty area quickly to block.
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Born in London , Sorrell studied economics at the University of Cambridge and then gained a masters from Harvard University. Sorrell will be available to assist with the transition.
Jordan Ayew then linked wonderfully with his brother Andre, but he could only fire straight at Everton goalkeeper Jordan Pickford.
Pickford showed assured handling to deny Tom Carroll from a long throw early in the second period and the England worldwide did well to parry behind from Andre Ayew at close quarters in the 51st minute.
Swansea wasted a gilt-edged opening when Tammy Abraham blasted over from Jordan Ayew's assist and had to settle for a point, which might yet prove crucial in the final reckoning.
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The Prime Minister also warned Russian Federation that the air strikes should act as a warning over its use of chemical weapons.