Solve with substitution or elimination

Question

The parks and recreation department in your town offers a season pass for $64. As a season pass holder, you pay $4 per session to use tennis courts. Without the season pass, you pay $12 per session to use tennis courts. Which system of equations can be used to find number of x session of tennis after, which total cost y with a season pass, including the cost of the pass, is the same as total cost without a season pass? Solve the system using substitution or elimination.

Answer 1

You would create an equation and then simplify and solve for x where both sides of the equation are equal. 

 

The cost for sessions with the season pass is:

 

($4*X)+$64

 

The cost for sessions without the season pass is:

 

$12*X

 

So, the equation to find the number of sessions, where the total cost would be the same is:

 

($4X)+$64=$12X