Question

During the 2005 football​ season, Team Tackle beat Team Sack by 21 points. If their combined scores totaled 59​ find the individual team scores?

Answer 1

Team Tackle scored `40` points and Team Sack scored `21` points

Explanation:

Give `"Team Tackle"` the variable `t` and `"Team Sack"` the variable `s`.

Team Tackle beat Team Sack by `21` points, meaning that they had `21` more. So this is the resulting equation:

`t = s + 21`

If their combined scores totaled `59` then:

`t + s = 59`

Now substitute the first equation into the second one:

`t + s = 59`

`(s + 21) + s = 59`

`2s + 21 = 59`

`2s = 38`

`s = 19`

Team Sack scored `19` points. Now put that into this equation:

`t = s + 21`

`t = (19) + 21`

`t = 40`

Team Tackle scored `40` points.