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
The number of three-point shots Robert made and the number of free throws is 7 and 2.
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Robert is a high school basketball player. In a particular game, he made some three-point shots and some free throws (worth one point each).
Robert made a total of 9 shots altogether and scored a total of 23 points.
Let three-point shot be x and free shot be y
total of 9 shots, then equation will be
x + y = 9.....1
total of 23 points. then the equation will be
3x + y = 23.....2
on solving equations 1 and 2
x = 7 and y = 2
So the number of three-point shots Robert made and the number of free throws is 7 and 2.
More about the linear system link is given below.
https://brainly.com/question/20379472
