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.

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

Step-by-step explanation:

Let n be the no. of months,

S1 subscription fees and M1 monthly fees

S2 subscription fees and M2 monthly fees

Cost1 = S1 + nM1

Cost2 = S2 + nM2

for the same number of months

Equating the 2,

S1 + nM1 = S2 + nM2

The terms in n got cancelled out because they were the same,

which means nM1 = nM2

Hence M1 = M2

And also, the statement is 75 = 75, which implies S1 = S2

c

Step-by-step explanation:

i did it on edge

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation:

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.