Question

7. A college offers 2 and 3 credit classes. One semester a student signs up for a total of 9 classes that totals 22 credits. Write a system of equations that represents the situation.

Answer 1

A system of equations is created based on the number of classes and total credits: x + y = 9 and 2x + 3y = 22, where 'x' is 2-credit classes and 'y' is 3-credit classes.

Step-by-step explanation:

To create a system of equations for the described situation involving credit classes, we define two variables:

let x be the number of 2-credit classes and y be the number of 3-credit classes.

Given that the student is taking a total of 9 classes and the total number of credits is 22, we can write the following system of equations:

• Equation 1 (representing the total number of classes): x + y = 9
• Equation 2 (representing the total number of credits): 2x + 3y = 22