Answer: The system of equations are;
a + b = 9 ———(1)
a + 3b = 23———(2)
Step-by-step Explanation: The variables used here are a and b. Where a represents the number of free throws and b represents the number of three-pointers.
From equation (1), what we have is the total number of shots he has taken altogether which is 9 shots in all. All 9 shots are an addition of free throws and three pointers (that is a + b).
In equation (2), what we have is the points obtainable times the number of shots taken (for each shot). This means if a is a free throw, then 1 times a is equal to number of free throws times 1. Similarly, if b is a three-point throw, then 3 times b is equal to the number of three pointers thrown times 3.
The solution to the equation above gives us,
a = 2 and b = 7
