Respuesta :

subtract L from both sides
S - L = L - L -rL
S - L = -rL
divide both sides by L
S - L/L = -rL/L
-r = S - L/L
divide both sides by -1
r = -S + L/L

Answer:

The value of the formula is [tex]r=\frac{L-S}{L}[/tex].

Step-by-step explanation:

Consider the provided formula.

[tex]S = L - rL[/tex]

We need to solve the provided formulafor r.

Subtract L from both side.  

[tex]S-L=L-L- rL[/tex]

[tex]S-L=-rL[/tex]

Divide both sides by -L.

[tex]\frac{S-L}{-L}=\frac{-rL}{-L}[/tex]

[tex]r=\frac{-S+L}{L}[/tex]

[tex]r=\frac{L-S}{L}[/tex]

Hence, the value of the formula is [tex]r=\frac{L-S}{L}[/tex].

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