Compare a yearly pass with a daily pass at a health club.

1. Develop a linear algebraic equation with clearly defined variables to represent the cost of each option.

2. Explain the reasoning behind the way each equation is constructed.

3. Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.

a. Explain each step used to solve the system of linear equations. Include the following in your explanation:

• The algebraic method used to solve the system of equations

• All mathematical operations used to solve the system of equations

• The solution of the system of equations

Assist in how the system would be expressed graphically.