( CNN ) Chelsea 's good week continued when the Blues beat West Ham 1-0 in the English Premier League to maintain a five-point lead over Manchester City atop the table . Chelsea manager Jose Mourinho -- who picked up another trophy Sunday in the League Cup final -- had never lost to West Ham in the top flight and Belgian attacker Eden Hazard ensured three more points when he netted in the first half Wednesday at the Hammers ' Upton Park . `` The game was very difficult , '' Hazard told Sky . `` One big battle against a good team with very good players . `` It 's always difficult when you do n't score the second goal to kill the game . But one goal was enough . It 's not always like this . `` The goalkeeper , the defense we have are very strong . It was very good . '' Chelsea keeper Thibaut Courtois made a string of good saves in the second half but West Ham boss Sam Allardyce lamented his team 's finishing -- plus the refereeing . He felt Hazard 's goal was offside . `` When you look back on the season and they say these things even themselves out , that 's the biggest load of rubbish I 've ever heard , '' the under pressure Allardyce told Sky . Nigel Pearson , manager of last-place Leicester , also felt aggrieved after his team lost 2-0 to reigning league champion Manchester City . Leicester did n't get a penalty when City striker Wilfried Bony appeared to foul Jeff Schlupp in the box in the first half or when Fernando fouled Andrej Kramaric in the second . Leicester struck the woodwork , too . City -- reeling following back-to-back defeats to Barcelona in the Champions League and Liverpool -- only really came to life after David Silva 's opener in first-half stoppage time . Leicester 's veteran keeper Mark Schwarzer thwarted City to keep it close but could do little on James Milner 's 88th-minute effort . The win was `` very important because it was a very difficult week with two bad results against Liverpool and Barcelona , '' said City manager Manuel Pellegrini , who rested club captain Vincent Kompany . Elsewhere , four teams vying for Champions League spots all won . Manchester United claimed all three points at Newcastle when Ashley Young took advantage of keeper Tim Krul 's error in the 89th minute ; Arsenal doubled third-last QPR 2-1 ; surging Liverpool shut out second-last Burnley 2-0 ; and League Cup finalist Tottenham defeated Swansea 3-2 in a game overshadowed by French striker Bafetimbi Gomis collapsing to the turf . United defender Jonny Evans might have been fortunate to escape unpunished at St. James ' Park , since he appeared to spit in striker Papiss Cisse 's direction when they clashed in the first half . Cisse then appeared to spit back at Evans . Arsenal remained third , with United in fourth on 53 points , two better than Liverpool , four better than Southampton and six better than Spurs , who have a game in hand . In Wednesday 's other match , Stoke extended Everton 's league slide by blanking the Toffees 2-0 at home . Barcelona reaches Copa del Rey final . In Spain , meanwhile , Barcelona reached the Copa del Rey final by easing past Villarreal 6-2 on aggregate . Holding a 3-1 lead after the first leg , Barcelona won away by the same score Wednesday , helped by Neymar 's double . Barcelona faces familiar foe Athletic Bilbao in May 's finale . Bilbao advanced 3-1 on aggregate over Espanyol , prevailing in the second leg 2-0 . Barcelona topped Bilbao in the 2009 and 2011 finals .
After winning the League Cup on Sunday , Chelsea remained in the league . The Blues beat West Ham 2 - 0 to keep their five point lead over Man City . derby City kept pace by beating last place united 2 - 0 . Manchester United scored late to down Newcastle 1 - 0 .