Arsenal sent West Brom down with a 3-1 win at the Emirates Stadium as Sam Allardyce suffered relegation from the Premier League for the first time in his career
The Gunners, 10th in the Premier League table ahead of kick-off and playing for little more than pride after their Europa League exit on Thursday, took the lead when the excellent Bukayo Saka, playing at left-back, crossed for Emile Smith Rowe to volley home (29)
Arsenal doubled their advantage soon afterwards when Nicolas Pepe cut inside from the right flank and curled a stunning effort beyond the outstretched Sam Johnstone (35), but they had some nervy moments after that
West Brom pulled a goal back in superb style when Matheus Pereira broke forward from inside his own half and, with Arsenal defenders backing off him, fired a diagonal shot into the corner (67)
The hosts struggled to regain control, despite Mikel Arteta sending on Kieran Tierney, Alexandre Lacazette and Thomas Partey, but Willian eventually made the result safe when he found the top corner with a brilliant free-kick (90) to notch his first Arsenal goal
Arsenal's first home win in two months was not entirely convincing but it did at least provide some relief after a dismal week
 West Brom, meanwhile, return to the Championship after a single season in the top flight
Arteta, under pressure after a poor season, had called on his players to show character and desire in the wake of their Europa League exit, but once again they looked flat in the opening stages of the match
West Brom's direct approach caused them problems, with Kyle Bartley and Semi Ajayi firing long passes over their defence at every opportunity and Pereira twice going close from outside the box, curling one spectacular effort a few inches wide
Callum Robinson threatened too, sending a looping shot against the crossbar after latching onto a diagonal ball in behind, and while the assistant belatedly raised his flag for offside on that occasion, it served as another warning for the hosts
Arsenal gradually began to wake up, but their build-up play was laboured, with Saka the only player willing to inject speed and urgency into proceedings
His overlapping runs allowed him to get into dangerous positions repeatedly and while his team-mates were unable to capitalise at first, it was not long until the breakthrough arrived
Willian played the youngster in behind and Smith Rowe met his fellow academy graduate's cut-back with an impeccably timed run to convert the opening goal
Arsenal's second came from a rare attack down the opposite flank as Pepe collected Calum Chambers' pass, cut inside West Brom left-back Conor Townsend and picked out the top corner
Arsenal had chances to further extend their lead before half-time, with Saka once again the source of the danger
First, his cross was headed over by Gabriel Magalhaes
 Then, in first-half stoppage time, his low, diagonal effort was repelled by Johnstone
Allardyce sent his players out early from the interval but the second half started in the same way the first had ended, with Arsenal threatening to add to their advantage
Pepe stung the palms of Johnstone with another diagonal effort after West Brom had lost possession in their own half, while Saka continued to find space on the left, with one cut-back narrowly missing both Gabriel Martinelli and Smith Rowe in the six-yard box
West Brom looked dead and buried at that point but, out of nothing, they pulled a goal back, with the dangerous Pereira capitalising on woeful Arsenal defending as he ran unopposed from the middle of his own half to the edge of the Gunners' box and fired a clinical effort into the bottom corner
Arsenal were rocked by the goal and struggled to regain control as West Brom sensed an opportunity to draw level
 It looked like they might in the 73rd minute when Darnell Furlong met a Matt Phillips cross - only to head wastefully wide
It was a fortunate escape for Arsenal and it was the closest West Brom came to prolonging their Premier League survival
The Gunners then made the result safe when the much-maligned Willian provided a reminder of his quality, curling home a free-kick from 25 yards out and sealing what is only Arsenal's seventh home win of a difficult Premier League campaign
With Tierney on the bench and Granit Xhaka injured, Saka started at left-back for only the second time all season
 His performance was one to savour - although some Arsenal fans will see it as proof that he should have been deployed there earlier
The 19-year-old, like Smith Rowe, has provided a ray of light in a dismal season and while he has shone in more advanced roles over the course of the campaign, this was a reminder of just how dangerous he can be from the left-back position
West Brom could not handle his speed and directness and while the statistics show he only created two chances, there were many more occasions when he got in behind and created danger for his side
Arsenal's squad is in need of work but in Saka they have a player to build around
 "We needed that win
 It has been a while since we won at home
 We scored three fantastic goals and we had some great spells in the game
"They scored out of nothing and then they throw everything at you
 They know the situation they are in and we struggled to play that kind of game
 When we conceded the goal we did look nervy
"Europe is a completely different game, different context
 There were things we could have done much better
"We will try to win every match now and see where we finish
 The only thing we can do is win our games
" "It's not sunk in yet, but I'm sure I'll wake up tomorrow and realise the situation
 I'm bitterly disappointed we're not still in the fight
"I'm not saying we would have avoided relegation but we should have been closer, we should have taken it down to the last three games, based on how we performed
 The creating of chances has been there but the converting has not
"We had [enough] time to pull it round
 Our real problem was not beating the bottom-six sides when we came up against them
 The results against Chelsea, Manchester United and Manchester City should have been bonus points
"Arsenal are back in action on Wednesday when they travel across London to face Chelsea, live on ; kick off 8
15pm
Meanwhile, West Brom face Liverpool next Sunday, also live on; kick off 4
30pm
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