Answer:
they won 52 games
they lost 19 games
the equation is 2x + 33= 71
Explanation:
they played 71 games in total
say the amount of games they won is y
say the amount of games they lost is x
using the variables, you can form this equation:
y + x = 71
you also know that they won 33 more games then they lost.
so, y = x + 33
now, you can substitute y for x + 33 in the original equation
x + x + 33 = 71
combine like terms
2x + 33 = 71
subtract 33 from both sides of the equation
2x + 33 - 33 = 71 - 33
2x = 71 - 33
2x = 38
divide both sides of the equation by 2
2x/2 = 38/2
x = 38/2
x = 19
they lost 19 games.
now substitute 19 for x in the equation
y = x + 33
y = 19 + 33
y = 52
they won 52 games