In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. if there were 45 baskets in a game and 96 points total, how many regular baskets r and long-distance baskets l were made

Let
 x: number of regular basketball
 y: number of long-distance basket
 We have the following system of equations:
 2x + 3y = 96
 x + y = 45
 Solving the system we have
 y = 45-x
 2x + 3 (45-x) = 96
 2x +135 -3x = 96
 -x = 96 -135
 x = 39
 Then,
 y = 45-x
 y = 45-39
 y = 6
 answer
 were made
 regular baskets = 39
 long-distance baskets = 6