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Newcastle salvaged a point thanks to a last-gasp Alexander Isak penalty.
Australia and Chelsea star Sam Kerr was not found guilty of racially aggravated harassment.
Enzo Maresca's side have posted their first win of the premier league season.
Chelsea, in their first Premier League outing under new manager Enzo Maresca, were largely outclassed by their more composed visitors.
The video, posted by Argentina international Fernandez on his Instagram account, featured a song sung by some of the Argentina squad about France's players.
The 52-year-old has now left the west London side after a turbulent campaign despite a late rally to finish sixth and secure European football for next season.
The Brazilian said he hoped to return in a different role.
It was the sixth time Arsenal have scored five or more in a Premier League game this season without conceding and in such a tight race they now have a huge goal difference advantage which could prove crucial to the outcome.
Silva sidefooted the ball home in the 84th minute after Chelsea goalkeeper Djordje Petrovic parried a shot from former Blues midfielder Kevin De Bruyne.
The heavy defeat leaves Everton 16th on 27 points, two places and two points above the relegation zone.
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