Questions: Solve for (s). [n=fracLp(r+s)] [s=]

$Solve for (s). [n=fracLp(r+s)] [s=]$

Transcript text: Solve for $s$. \[ n=\frac{L}{p(r+s)} \] \[ s= \]

Solution

Solution Steps

Step 1: Isolate the denominator

Start by isolating the denominator $ p(r+s) $ in the equation: \[ n = \frac{L}{p(r+s)} \] Multiply both sides by $ p(r+s) $ to eliminate the denominator: \[ n \cdot p(r+s) = L \]

Step 2: Solve for $ r+s $

Divide both sides by $ n \cdot p $ to isolate $ r+s $: \[ r+s = \frac{L}{n \cdot p} \]

Step 3: Solve for $ s $

Subtract $ r $ from both sides to solve for $ s $: \[ s = \frac{L}{n \cdot p} - r \]

Final Answer

$ \boxed{s = \frac{L}{n \cdot p} - r} $

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