During the 2003-2004 nba season, dirk nowitzki of the dallas mavericks made a total of 976 shots and scored 1680 points. his shots consisted of 3-point field goals, 2-point field goals, and 1-point free throws. he mad 135 more 2-point field goals than free throws. how many of each type of shot did he make?
1. define the variables
2. write a system of linear equations with 3 variables and 3 equations.
3. write a matrix representing this system of equations.
4. find the inverse of this matrix.
5. use the inverse matrix to solve for the number of each type of shot.