One health club charges a monthly fee of $81 and an extra $5 for every visit. Another health club charges $86 per month and $4 for every visit. For how many visits will the monthly charge be the same? Suppose x is the number of visits per month. Write a linear equation, which will derive the solution for the problem.

**x = number of visits per month**

y = total monthly cost

y = total monthly cost

y = 5x + 81 {one health club charges monthly fee of $81 and $5 for each visit}

y = 4x + 86 {another club charges monthly fee of $86 and $4 for each visit}

**5x + 81 = 4x + 86**{the linear equation to find out when the charge will be the same}

x + 81 = 86 {subtracted 4x from each side}

x = 5 {subtracted 81 from each side}

For 5 visits, the monthly charge (y) will be the same.

*- Algebra House*