The monthly membership in a discount grocery club includes and monthly charge and a one time joining fee. the total cost of membership for 6 months is 80$, and the total cost for a year is $110. write and solve a system of equations.

Step-by-step explanation:

Let x represent the monthly cost charge for using the gym.

Let y represent the one time joining fee.

The total cost of membership for 6 months is $80. This means that

6x + y = 80 - - - - - - - - - - 1

The total cost for a year is $110. There are 12 months in a year. It means that

12x + y = 110 - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 6x = - 30

x = - 30/-6

x = 5

Substituting x = 5 into equation 1, it becomes

6 × 5 + y = 80

30 + y = 80

y = 80 - 30

y = 50