lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one - time membership…

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?\none gym charges $75 per month.\neach gym charges $75 per month.\nboth gyms charge the same monthly rate and the same membership fee.\nboth gyms charge the same monthly rate, but not the same membership fee.

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?\none gym charges $75 per month.\neach gym charges $75 per month.\nboth gyms charge the same monthly rate and the same membership fee.\nboth gyms charge the same monthly rate, but not the same membership fee.

Answer

Brief Explanations:

When solving a system of linear - equations and getting an identity like 75 = 75, it means the two equations in the system are equivalent. In the context of gym membership costs (where the cost is a linear function of time with a monthly rate and a one - time fee), this implies that the cost functions for the two gyms are the same. So both the monthly rate and the one - time membership fee are equal for the two gyms.

Answer:

Both gyms charge the same monthly rate and the same membership fee.