Manchester United are up to third in the Premier League following a 2-0 defeat of Sunderland at Old Trafford.
Wayne Rooney got both goals: the first from the penalty spot after John O'Shea committed a foul in the box, but Wes Brown was wrongly shown the red card.
Southampton's Champions League hopes have suffered another blow with a 1-0 defeat at West Brom. Saido Berahino's early goal made the difference at the Hawthorns.
Tim Sherwood has now lost his first two games as Aston Villa manager - this time going down 1-0 at Newcastle.
Hull are just four points off the dropzone after Peter Crouch's looping header gave Stoke a 1-0 win in their meeting at the Britannia.
Swansea will feel their European hopes are still alive after a Kieran Trippier own goal gave them a 1-0 win at Burnley.
Meanwhile, Crystal Palace have edged closer to mid-table security with a 3-1 win at West Ham.
Full-time scores
Burnley 0 Swansea 1
(S: Trippier og 65')
Manchester United 2 Sunderland 0
(MU: Rooney 66' pen, 85')
Newcastle 1 Aston Villa 0
(N: Cissé 37')
Stoke 1 Hull 0
(S: Crouch 72')
West Brom 1 Southampton 0
(W: Berahino 2')
West Ham 1 Crystal Palace 3
(WH: Valencia 76' // CP: Murray 41', 63', Dann 51')