Question

Given F = 9/5C + 32, the conversion formula for Fahrenheit to Celsius, solve for C

Answer 1

Answer: A) $C=\dfrac{5}{9}(F-32)$

Step-by-step explanation:

Given : $F=\dfrac{9}{5}C+32$ the conversion formula for Fahrenheit to Celsius.

To solve the formula for C , we need to first subtract 32 from both sides , we get

$F-32=\dfrac{9}{5}C+32-32$

Simplify , we get

$F-32=\dfrac{9}{5}C$

Now, Multiply both sides with the reciprocal of $\dfrac{9}{5}$ i.e. $\dfrac{5}{9}$ , we get

$\dfrac{5}{9}(F-32)=\dfrac{5}{9}\times\dfrac{9}{5}C$

Simplify ,

$\dfrac{5}{9}(F-32)=C$

Hence,  $C=\dfrac{5}{9}(F-32)$