Serenity is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Serenity scored a total of 16 points and made 3 more two point shots than three point shots. Write a system of equations that could be used to determine the number of two point shots Serenity made and the number of three point shots she made. Define the variables that you use to write the system.

The system of equations that could be used to determine the number of two point shots Serenity made and the number of three point shots she made is

x + y = 16

x + y = 16 y = x + 3

let

number of no two points shot = x

number of three points shot = y

The equation:

x + y = 16 (1)

y = x + 3 (2)

substitute (2) into (1)

x + y = 16

x + (x + 3) = 16

x + x + 3 = 16

2x + 3 = 16

2x = 16 - 3

2x = 13

divide both sides by 2

x = 13/2

x = 6.5

Recall,

y = x + 3

= 6.5 + 3

= 9.5

Therefore, the number of two points shot is 6.5 and the number of three points shot is 9.5

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x + y = 16 and x = y + 3.

Step-by-step explanation:

Let us assume that in that particular game, Serenity has made x number of two-point shots and y number of three-point shots.

Given that, Serenity scored a total of 16 points and made 3 more two-point shots than three-point shots.

Hence, we can write the system of equations from the above conditions as

x + y = 16 and x = y + 3.

So, those are the system of equations that can be used to get the value of x and y. (Answer)  

answer: a

step-by-step explanation: