Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.

Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude?

One gym charges $75 per month.
Each gym charges $75 per month.
Both gyms charge the same monthly rate and the same membership fee.
Both gyms charge the same monthly rate, but not the same membership fee

The equation is termed as the expression that shows the relationship between the two varied variables and also asserts the qualities of the expressions. It is separated the equal sign and the variable are derived by the various methods. There can be one or more or more variables.

The correct answer is Both gyms charge the same monthly rate and the same membership fee.

This is the correct answer as it has been depicted from the statement in the context. Lian has solved the equation of the cost of both the gym and the membership fee of both the gym. Equating this, she got the equal variables in both the gym and got the equality in the equation.

Therefore the answer is Both gyms charge the same monthly rate and the same membership fee.

To know more about the conclusion of the Lian, refer to the link below:

https://brainly.com/question/1561129