"In the first half we had chances, and in the second half we improved our attitude and scored two goals. It is a fair result for us. We work two systems and the players know what we want."
Silva said Hull now had to translate that kind of performance to their travels.
"We need to take points away from home as well, it is difficult," he said.
Swansea are now just three points ahead of Hull in 16th place and manager Paul Clement admitted there was plenty of hard work to be done.
"There's a lot of football to be played," he said. "I didn't think we were anywhere near safe [before the match] and we are not anywhere near safe now.
"We have 10 games to go and have to bounce back next week against Bournemouth."
Bournemouth will go into that meeting with confidence after they moved away from trouble thanks to a 3-2 win over West Ham.
Josh King was the hero with a hat-trick, the winner coming in the 90th minute and lifting Eddie Howe's side to 14th.
King missed a penalty before West Ham took the lead through Michail Antonio and Benik Afobe missed again from the spot for Bournemouth before King scored twice to give Bournemouth the lead early in the second half.
Andre Ayew must have thought he had grabbed an equaliser seven minutes from time but King smashed the ball home from close range in time added on.
"Relief is the overwhelming feeling," Bournemouth manager Eddie Howe said.
"It always is in those circumstances - a mixture of emotions but the main one is relief.
"It sums up the Premier League really - the ups and downs are extreme but I think we played well.
Everton beat West Brom 3-0 in the day's other game, goals from Kevin Mirallas, Morgan Schneiderlin and Romelu Lukaku - with his 19th league goal of the season - lifting them to within two points of sixth-placed Manchester United.
"It was an outstanding team performance," Everton manager Ronald Koeman said. "In the second half, we controlled it. Our defensive organisation from set plays was outstanding.
Liverpool play Burnley in Sunday's only match, looking to close to within a point of Tottenham and Manchester City in second and third.