To skate at roller heaven, each person must pay a membership fee (m) and a fee for each session (f). art attended 5 sessions and paid $25 in all. later, when he had attended 10 sessions, he paid $40 in all. how much is the membership fee and how much are the sessions. write the solution as an ordered pair

C=m+fx

m+5f=25  and m+10f=40 solving both for m

m=25-5f and m=40-10f,  since f=f, the fee is the same, we can now say:

25-5f=40-10f  subtract 25 from both sides

-5f=15-10f  add 10f to both sides

5f=15  divide both sides by 5

f=3, now we can solve for the membership fee, m, using either original equation...

m+5f=25, f=3 so

m+5(3)=25

m+15=25

m=10

So the membership fee is $10 and the lesson fee is $3 per session.