At the north fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. after 25 tries, linda has 33 points. how many hits did she have?

Let h represent number of hits.
Let m represent number of misses.

1) 9h - 7m = 33
2) h - m = 2
2a) h = 2 + m

Sub 2a) into 1)
9*(2+m) - 7m = 33
18 + 9m - 7m = 33
2m = 15
m = 7.5

Sub m = 7.5 into 2a)
h = 2+ 7.5
h = 9.5

Though this does work you can’t exactly shoot a half miss or hit so h=13 and m=12 works as well...

9(13)-7(12)=33
117- 84=33