To solve this problem you must apply the proccedure shown below:
1. Let's call the games won [tex]x[/tex] and the games lost [tex]y[/tex].
2. Then, based on the information give in the problem, you can make the following system of equations:
[tex]\left \{ {{x=y-2} \atop {x+y=82}} \right.[/tex]
3. You can use the Substitution method. You must substitute [tex]x=y-2[/tex] into the second equation and solve for [tex]y[/tex]:
[tex](y-2)+y=82[/tex]
[tex]y=42[/tex]
3. Now substitute this values obtained into the first equation and solve for [tex]x[/tex]:
[tex]x=42-2[/tex]
[tex]x=40[/tex]
The answer is: The team won 40 games and lost 42 games.
