A gym offers two different membership options. In the 1st option, new members pay a one time fee of $50 and a monthly fee of $30. In the 2nd option, members pay a one time fee of $100 and a monthly fee of $20. In this activity you will use substitution to solve for one variable in this system of equations and find the number of month it will take for the total cost of the membership be the same for both plans.
To find out when the cost will be equal, you will need to solve for m (months) using substitution. Substitute the expression for the cost from the first equation into the cost, c (total membership cost), In the second equation.