Please help me!!!!!!!!!!!!!

Question

Tariq is a high school basketball player. In a particular game, he made some two point shots and some free throws (worth one point each). Tariq made a total of 6 shots altogether and scored a total of 8 points. Write a system of equations that could be used to determine the number of two point shots Tariq made and the number of free throws he made. Define the variables that you use to write the system.

Answer 1

So let's define the variables (any letters you want):

Let x = # 2 pt shots made

y = # free throws made (1 point each)

Then:

x + y = 6 (because he made 6 shots)

2x + y = 8 (because each x shot is worth 2 points, but y shots are only 1 point, and he scored total of 8 points)

The question did not ask you to solve the system, but here is one way to do it.

Isolate y in the 1st equation:

y = 6 - x

Substitute the value of y in terms of x into the 2nd equation (the substitution method).

2x + ( 6 - x ) = 8

x + 6 = 8

x = 2

If x = 2, y = 4.

Check:

2 (2point shots) = 4 points

4 (1 point free throws) = 4 points

6 shots, 8 points