## In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in a game and 1

Question

In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in a game and 118 points total. Part A: Write a system of equations where x represents a regular basket and y represents a long distance basket.

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10 mins 2021-10-14T01:15:29+00:00 1 Answer 0

The system of equations for the given situation is:  Step-by-step explanation:

Given:

Regular basket is worth = 2 points

Long distance basket  is worth =3 points

Total baskets in a game = 54

Total points in total = 118 represents the number of regular baskets represents the number of long distance baskets.

Expression for total baskets can be given by ⇒ Thus first equation representing total baskets in a game is given by: Since a regular basket is worth 2 points

So regular baskets would be worth points

Since a long distance basket is worth 3 points

So long distance baskets would be worth points

Expression for total points in a game can be given by ⇒ Thus second equation representing total points in a game is given by: The system of equations for the given situation is:  