Question

Scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets

te a system of equations to represent the number of each type of basket Jake scored. Explain your thinking:

Answer 1

Let x represent the number of 2 pointers made.

Let y represent the number of 3 pointers made.

We have to create a system of equations to solve this problem:

Isolate for in Equation #1:

Substitute the new Equation #1 into Equation #2:

Solve for :

Distribute the Parenthesis:

Combine like terms:

Add -46 to both sides:

Substitute this value into Equation #1:

Add -7 to both sides:

The Solution Is:

Jake made 16 two-pointers and 7 three-pointers!

I hope this helped!

Explanation: