During the 2005 football season, team tackle beat team sack by
31 points. if their combined scores totaled
65, find the individual team scores

Team Tackle scored 31 points more than Team Sack so if we take 31 away from 65 then we have 34. We then divide that by 2 for each teams score for 17 for each team. We add 31 back to Team Tackles score and we get 48 so the scores were 48 to 17

For a 0.25 pfor b o.3pp (0.25+0.3)=0.28

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.