Solve for A
A=\frac{S-10F}{2}
Solve for F
F=\frac{S-2A}{10}
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2A+10F=S
Swap sides so that all variable terms are on the left hand side.
2A=S-10F
Subtract 10F from both sides.
\frac{2A}{2}=\frac{S-10F}{2}
Divide both sides by 2.
A=\frac{S-10F}{2}
Dividing by 2 undoes the multiplication by 2.
A=\frac{S}{2}-5F
Divide S-10F by 2.
2A+10F=S
Swap sides so that all variable terms are on the left hand side.
10F=S-2A
Subtract 2A from both sides.
\frac{10F}{10}=\frac{S-2A}{10}
Divide both sides by 10.
F=\frac{S-2A}{10}
Dividing by 10 undoes the multiplication by 10.
F=\frac{S}{10}-\frac{A}{5}
Divide S-2A by 10.
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