Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one point each). Hailey scored a total of 14 points and made 4 times as many free throws as three point shots. Write a system of equations that could be used to determine the number of three point shots Hailey made and the number of free throws she made. Define the variables that you use to write the system.

The system of equations that can be used to determine the number of three point shots Hailey made and the number of free throws she made is: y

3x + y = 14 equation 1

4y = x equation 2

Where:

x = three point shots

y = free throws

Equation 1 and equation 2 are known as simultaneous equations. The two equations have to solved together in order to determine the values. The equations can be solved using elimination or substitution method.

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the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .