Hockey Teams Receive 2 Points When They Win And 1 Point When They Tie. One Season A Team Won A Championship With 52 Points. They Won 11 More Games Then They Tied. How Many Did They Win And How Many Were Tied?

Your use of the word "then", instead of "than", implies that there was a sequence of 12 games involving 11 wins and a tie. This tends to be confusing. I assume you mean "they won 11 more games than they tied."

Let w = the number of wins, t = the number of ties.
2w+t = 52    (total points for the season)
w = t+11    (wins exceeded ties by 11)

2(t+11) + t = 52    (substitute the expression for w into the first equation)
3t + 22 = 52    (use the distributive property, and collect terms)
3t = 30    (subtract 22 from both sides)
t = 10    (divide both sides by 3)
w = 10+11 = 21    (use the expression for w to find the value of w)

The team won 21 and tied 10 games.
____
They got 42 points for their wins and 10 points for their ties, totaling 52 points.