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Chapter 9: Problem 52

Solve the formula used to convert from Celsius to Fahrenheit for \(C\) and derive the other temperature conversion formula.

Short Answer

Expert verified
The Fahrenheit to Celsius conversion formula derived from the original conversion formula is \((F - 32)(5/9) = C\).

Step by step solution

01

- Write down the original conversion formula

The original formula to convert Celsius to Fahrenheit is \(F = 9/5C + 32\).
02

- Isolate term with \(C\)

The goal is to have \(C\) on one side of the equation and everything else on the other side. This requires us to subtract 32 from both sides of the equation, which gives \(F - 32 = 9/5C\).
03

- Solve for \(C\)

To isolate \(C\), we need to multiply both sides of the equation by \(5/9\). Doing so, we get \((F - 32)(5/9) = C\).

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