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Please show work i just don’t understand the wording

Please show work i just don’t understand the wording-example-1

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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

User Keith Myers
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