Answer:
[tex]F=\dfrac{9}{5}C+32[/tex]
Step-by-step explanation:
We are given the Fahrenheit-Celsius conversion equation:
[tex]C=\dfrac{5}{9}(F-32)[/tex]
If we want to solve for F, the first step we should take is to isolate the expression with F, which is (F - 32). We can cancel its coefficient by multiplying by its reciprocal, which is:
[tex]\text{reciprocal of } \dfrac{5}{9} \implies \dfrac{9}{5}[/tex]
The equation becomes:
[tex]\dfrac{9}{5}C=\dfrac{\not\!5}{\not\!9}(F-32) \cdot \dfrac{\not\!9}{\not\!5}[/tex]
[tex]\dfrac{9}{5}C=F-32[/tex]
From here, all we have to do for solve for F is add 32 to both sides:
[tex]F=\dfrac{9}{5}C+32[/tex]