A football game was played between team a and team b. The two teams scored a total of 41 points and team a won by a margin of 15 points. How many points did team b score?

Respuesta :

Team B scored 13 points.

Step-by-step explanation:

Total scores = 41 points

Let,

Team A = a

Team B = b

According to given statements;

a+b = 41   Eqn 1

As team A won by a margin of 15 points.

a = b+15   Eqn 2

Putting value of a from Eqn 2 in Eqn 1

[tex](b+15)+b=41\\b+15+b=41\\2b=41-15\\2b=26[/tex]

Dividing both sides by 2;

[tex]\frac{2b}{2}=\frac{26}{2}\\b=13[/tex]

Team B scored 13 points.

Keywords: linear equation, substitution method

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