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Answer :
To solve the equation [tex]\( C = \frac{5}{9}(F - 32) \)[/tex] for Fahrenheit [tex]\( F \)[/tex], follow these steps:
1. Clear the fraction:
Multiply both sides of the equation by [tex]\(\frac{9}{5}\)[/tex] to eliminate the fraction. This will give you:
[tex]\[
\frac{9}{5}C = F - 32
\][/tex]
2. Isolate [tex]\( F \)[/tex]:
Add 32 to both sides of the equation to get [tex]\( F \)[/tex] by itself:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
Now, the equation is rearranged to find the temperature in Fahrenheit, [tex]\( F \)[/tex], when given the temperature in Celsius, [tex]\( C \)[/tex]. So, the formula to convert Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
This gives you the solution for Fahrenheit in terms of Celsius.
1. Clear the fraction:
Multiply both sides of the equation by [tex]\(\frac{9}{5}\)[/tex] to eliminate the fraction. This will give you:
[tex]\[
\frac{9}{5}C = F - 32
\][/tex]
2. Isolate [tex]\( F \)[/tex]:
Add 32 to both sides of the equation to get [tex]\( F \)[/tex] by itself:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
Now, the equation is rearranged to find the temperature in Fahrenheit, [tex]\( F \)[/tex], when given the temperature in Celsius, [tex]\( C \)[/tex]. So, the formula to convert Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
This gives you the solution for Fahrenheit in terms of Celsius.
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