Can someone please help me with this calculus problem

okay

S+F=B

S=F+P

2B=3P

S=___F

and include an explanation because I actually want to understand it. thanks!!!!!!!!

We want to express S in terms of F so we have to get rid of all Bs and Ps.

2B=3P so-> B=3P/2

S+F=B so is you but B=3P/2 where B is, S+F=3P/2 so -> S=3P/2 - F (eq1)

and we know that S=F+P (eq2)

if we multiply both sides of eq2 by -3/2 it will be -> -3S/2 = -3F/2 - 3P/2 (eq3)

than we add eq1 and eq3 -> -1S/2 = -5F/2 so multiply both sides of this equation by -2

S=5F

I hope this is helpful. And this is not the only way to solve this problem. For example you can start like this:

2B=3P so-> P=2B/3 and continue. Try to do it this way by yourself to practice and check the answer.

Start
B=S+F
S=F+P -> substract F -> P=S-F

Fill it into the first formula (2B=3P )
->
2(S+P) = 3(S-F)
2S + 2F = 3S - 3F plus 3F
2S + 5F = 3S substarct 2S
5F = S