MHB How do I solve for F in F = 9/5C + 32?

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To solve for F in the equation F = 9/5C + 32, one can start by multiplying both sides by 5/9. The correct manipulation leads to the equation C = 5/9(F - 32). This can be rearranged to isolate F, resulting in F = 9/5C + 32. The final expression confirms the relationship between Celsius and Fahrenheit temperatures.
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How do I solve for F in

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frctl said:
How do I solve for F in

Hint: Multiply both sides of the equation by 5/9.

-Dan
 
Is the following correct?

9/5C = 9/5F - 9/5(1/32)
C = F - 1/32
F = C + 1/32
 
frctl said:
Is the following correct?

9/5C = 9/5F - 9/5(1/32)
C = F - 1/32
F = C + 1/32

not quite ...

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

as suggested by topsquark ...

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

$\dfrac{5}{9} \cdot C = \cancel{\dfrac{5}{9}} \cdot \cancel{\dfrac{9}{5}} ( F - 32)$ (note that any number times its reciprocal equals 1)

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

can you finish ?
 
F = 9/5C + 32

Thank you!
 
frctl said:
F = 9/5C + 32

correction ...

$F=\dfrac{5}{9} \cdot C + 32$
 

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