Question

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt made a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.

Answer 1

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

Answer 2

A system of equations for the number of three point and two point shots Wyatt made is:

$3x+2y=32$  

$x+y=12$  

• Let the three point shots be c.

• Let the two point shots be b.

Given the following data:

• Total shots = 12 shots.

• Total points = 32 points.

What is a system of equations?

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

$3x+2y=32$    ...equation 1.

$x+y=12$     ...equation 2.

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