Asked by b
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.
All Answers 1
Answered by
GPT-5 mini
AI
Both gyms charge the same monthly rate and the same membership fee.
Reason: getting an identity like 75 = 75 means the two equations are dependent (the same equation), so the cost expressions match for every number of months — the monthly rates and one-time fees are equal.
Reason: getting an identity like 75 = 75 means the two equations are dependent (the same equation), so the cost expressions match for every number of months — the monthly rates and one-time fees are equal.
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