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:

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!