Answer: A) [tex]C=\dfrac{5}{9}(F-32)[/tex]
Step-by-step explanation:
Given : [tex]F=\dfrac{9}{5}C+32[/tex] the conversion formula for Fahrenheit to Celsius.
To solve the formula for C , we need to first subtract 32 from both sides , we get
[tex]F-32=\dfrac{9}{5}C+32-32[/tex]
Simplify , we get
[tex]F-32=\dfrac{9}{5}C[/tex]
Now, Multiply both sides with the reciprocal of [tex]\dfrac{9}{5}[/tex] i.e. [tex]\dfrac{5}{9}[/tex] , we get
[tex]\dfrac{5}{9}(F-32)=\dfrac{5}{9}\times\dfrac{9}{5}C[/tex]
Simplify ,
[tex]\dfrac{5}{9}(F-32)=C[/tex]
Hence, [tex]C=\dfrac{5}{9}(F-32)[/tex]
