Solve the following problem using substitution or elimination: To skate at Roller Heaven, each person must pay a monthly membership fee (m) and a fee for each session (f). In January, Art attended 5 sessions and paid $25 in all. In July, he attended 10 sessions, and he paid $40 in all. How much is the membership fee and how much are the session?

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Solve the following problem using substitution or elimination: To skate at Roller Heaven, each person must pay a monthly membership fee (m) and a fee for each session (f). In January, Art attended 5 sessions and paid $25 in all. In July, he attended 10 sessions, and he paid $40 in all. How much is the membership fee and how much are the session?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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(5,25) and (10,40) plot and find the slope. Then use the point slope formula
25=m+5f 40=m+10f -25=-m-5f 15=5f f=3 m=10
m + 5f = 25 m + 10f = 40 m = 25 - 5f (25 - 5f) + 10f = 40 etc

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or you can do that
It does say using substitution etc ;)
I know. I was just showing another way it could be solved.
(25 - 5f) + 10f = 40 So then I solve this by subracting 5f from both sides right?
let x be the total monthly fee let y be the cost per session Then we can get x+5y=25 x=25-5y Again, x+10y=40 Now, we can substitute the value of x and solve for y 25-5y+10y=40 5y=40-25 y=15/5=3 Now , we can find x by using one of the above eq x=25-5(3) x=10 Thus the total monthly fee is 10$ and the fees per session is 3$

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