Let us suppose Miami heat lost x games and won y games.
Now, we have been given that the Miami heat won two more than four time as many games as they lost. Therefore, we have below equation
[tex]y=2+4x[/tex]
Now, the heat played 82 games. Therefore, we have
[tex]x+y=82[/tex]
On substituting the value for y from above equation, we get
[tex]x+2+4x=82\\ \\ 5x=80\\ \\ x=16\\ \text{Thus, the value for y is given by}\\ y=2+4 \times 16\\ \\ y=2+64\\ \\ y=66[/tex]
Therefore, Miami heat won 66 games and lost 16 games.