The victory saw the unfashionable Madrid club tighten their grip on the coveted fourth spot in the table by moving on to 58 points after 36 games, three points clear of nearest challengers Sevilla, who lost to Leganes on Friday.
Check out the top footballers of the weekend...
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Olympique Lyon recovered from going 2-1 down and the dismissal of Fabio Grosso to draw 2-2 at home to Caen on Saturday to edge closer to a seventh successive Ligue 1 title.
Arsenal manager Arsene Wenger announced on Friday that he will step down from his role at the Premier League club at the end of the season after almost 22 years at the helm.
The Argentine is reportedly unhappy with coach Enrique's way of running the dressing room at Barcelona.
Sterling, 24, had a hand in all five goals, including an 11-minute hat-trick, as City romped to a 5-1 Champions League victory over Italian side Atalanta on Tuesday, to take his tally to 12 goals in 13 appearances this season.
Olivier Giroud proved the difference for Arsenal in a typically hard-fought 1-0 win over West Bromwich Albion on Monday, again demonstrating his worth to manager Arsene Wenger after spending the majority of the season on the substitutes' bench.
"I will not play for Nantes again," the former France goalkeeper told French radio France Info.
Teenager Kylian Mbappe scored twice to give AS Monaco a 3-2 win at Borussia Dortmund on Wednesday in a Champions League quarter-final first-leg match that was postponed following an attack on the home team's bus.
Manchester City made it five wins out of five in the Premier League and Cristiano Ronaldo scored five goals for Real Madrid but Chelsea and Juventus continued to struggle at the weekend as the Champions League looms.
Paris St Germain collected their first trophy of the season when Edinson Cavani's double secured a 2-1 victory against Olympique Lyon in the French League Cup final on Saturday.
News of all that's transpired on and off the football field
A much-changed Real Madrid ground out a 2-0 victory at third-tier Fuenlabrada in their King's Cup last-32 first leg on Thursday, needing two dubious penalties to break down their stubborn hosts as both sides finished with 10 men.
Paris St Germain would be odds-on certainties to easily beat Chelsea and take a big step towards the Champions League quarter-finals on Tuesday if statistics and domestic form decided matches.
They have 49 points from a maximum 54 after 18 games, with Lens still on 32 points.
Lille fought back from a goal down to win 3-1 at Nancy in Ligue 1 on Sunday but lost goalkeeper Tony Sylva.
News of all that's transpired on and off the football field
Media attention has focused on whether their most prized asset Neymar will eventually make a sensational move to the Santiago Bernabeu.
France midfielder Dimitri Payet scored the winner after setting up the equaliser in a 2-1 victory over Sweden in a top-of-the-table clash as they opened up a three-point lead in World Cup qualifying Group A at the Stade de France on Friday.
The Tokyo 2020 Olympics torch lighting ceremony in ancient Olympia will be the first in more 35 years to be held without spectators after organisers introduced tighter measures to protect against the coronavirus. Here is a list of international sports events hit by the coronavirus outbreak.
Neymar lived up to expectations as he showed his class on his Ligue 1 debut on Sunday, scoring one and setting up another goal in Paris St Germain's 3-0 win at En Avant Guingamp.
News of all that's transpired on and off the football field
Racing Strasbourg, bottom of Ligue 1 and without a league win this season, secured their place in the last 32 of the UEFA Cup on Thursday with a 1-1 draw at AS Roma.
News of all that's transpired on and off the football field
FIFA president Sepp Blatter believes top national leagues should be cut to 16 teams to give players more rest.
A round-up of weekend action in the main European leagues.
A round-up of weekend action in the main European leagues.
Lilian Laslandes struck twice to help in-form Girodins Bordeaux beat Nantes 3-1 and reach the quarter-finals of the French League Cup.
Czech midfielder Vladimir Smicer has joined Girondins Bordeaux as a free agent on a two-year deal
Champions Olympique Lyon dented Olympique Marseille's chances of playing in Europe next season with a 1-0 away victory.
News of all that's transpired on and off the football field
Salzburg forced Lazio into a second-half capitulation as the Italians crashed out in the Europa League quarter-finals after losing 4-1 but Olympique de Marseille staged a thrilling fightback to see off visitors Leipzig 5-2 on Thursday. Arsenal also reached the semi-finals after recovering from a wobble to draw 2-2 at CSKA Moscow and progress 6-3 on aggregate, while favourites Atletico Madrid reached the last four after losing 1-0 at Sporting to go through 2-1 over the two legs.