Problem 73 - Algebra and Trigonometry

Question

Solve for \(C: \quad V=C-\frac{C-S}{L} N\)

Step-by-Step Solution

Answer

\(C=\frac{V-N(\frac{S}{L})}{1-\frac{N}{L}}\)

Step 1: Distribute N in the equation

Multiply N to both parts inside the bracket: \(V=C-N(\frac{C}{L})+N(\frac{S}{L})\)

Step 2: Rearrange to isolate C

Rearrange in order to group the terms containing C: \(V=N(\frac{S}{L})+(1-\frac{N}{L})C\)

Step 3: Final step to solve for C

Finally, solve for C by dividing every term by \(1-\frac{N}{L}\): \(C=\frac{V-N(\frac{S}{L})}{1-\frac{N}{L}}\)