Manchester City stand just two victories away from retaining their Premier League title after Sergio Aguero’s second-half goal gave them a scrappy victory over Burnley at Turf Moor.

Aguero’s 64th-minute goal – bundled in and given via goal-line technology despite Matthew Lowton’s attempted clearance – summed up much of City’s performance as Burnley’s organisation and resilience threatened to keep them out.

Gabriel Jesus had another effort kicked off the line by Ben Mee and while Burnley rarely threatened, City knew only victory would do or the initiative would be handed back to Liverpool. It was duly secured with a 12th successive league win.

Burnley goalkeeper Tom Heaton also saved from Aguero, Aymeric Laporte and Bernardo Silva in a City performance that was average for long spells – but the main priority of three points was achieved and they know victory at home to Leicester City and away at Brighton will ensure they keep the crown.

Also on Sunday evening, Jamie Vardy scored twice as Leicester dented Arsenal’s hopes of qualifying for the Champions League with a dominant victory at the King Power Stadium.

The unmarked Youri Tielemans headed in a cross from James Maddison just before the hour mark, then Vardy struck late on with a header and a tap-in from close range.

Arsenal played almost an hour of the contest with 10 men after Ainsley Maitland-Niles was sent off.

A third successive Premier League defeat left them a point behind fourth-placed Chelsea, who face Manchester United at Old Trafford at 16.30 BST on Sunday.

Leicester can still finish seventh – they are three points behind Wolves with two matches left – which could earn a Europa League place depending on the outcome of the FA Cup final.

In the last match of the day,a mistake by goalkeeper David de Gea gifted Chelsea an equaliser as Manchester United’s hopes of playing in next season’s Champions League were dented at Old Trafford.

With United leading through Juan Mata’s goal against his former club, De Gea spilled Antonio Rudiger’s 30-yard attempt for Marcos Alonso to level shortly before the interval.

It was a costly error by the Spaniard, whose form has come under scrutiny in recent weeks, although De Gea did come to his side's rescue deep in stoppage time to deny Gonzalo Higuain a dramatic winner.

Up until Chelsea’s equaliser, United had been in control yet they remain sixth in the table, three points behind fourth-placed Chelsea with two games to play, after a third successive league game without a win.

In a competitive game, both teams suffered injuries.

After Rudiger was forced off in the 64th minute, United defender Eric Bailly, who was making his first league start since 3 February, was helped off six minutes later.