Problema Solution
During the 2005 football​ season, Team Tackle beat Team Sack by 31 points. If their combined scores totaled 57, find the individual team scores.
Answer provided by our tutors
Let
x = the score of Team Tackle
y = the score of Team Sack
Team Tackle beat Team Sack by 31 points means:
x - y = 31
Since combined scores totaled 57:
x + y = 57
We have the following system of equations:
x - y = 31
x + y = 57
........
click here to see the system of equations solved for x and y
........
x = 44 points
y = 13 points
Team Tackle scored 44 points, while Team Sack 13 points.