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.

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:

no pictures of the graph

step-by-step explanation: