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Answer :
To rearrange the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex], you'll want to follow these steps:
1. Start with the Original Formula:
The formula given is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
2. Isolate the Term with [tex]\( C \)[/tex]:
To isolate the [tex]\( \frac{9}{5}C \)[/tex] term, subtract 32 from both sides of the equation:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
3. Solve for [tex]\( C \)[/tex]:
To get [tex]\( C \)[/tex] by itself, you need to undo the multiplication by [tex]\( \frac{9}{5} \)[/tex]. You can do this by multiplying both sides of the equation by the reciprocal of [tex]\( \frac{9}{5} \)[/tex], which is [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
Now, the formula is rearranged to highlight [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This is the temperature conversion formula that you can use to find degrees Celsius given degrees Fahrenheit.
1. Start with the Original Formula:
The formula given is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
2. Isolate the Term with [tex]\( C \)[/tex]:
To isolate the [tex]\( \frac{9}{5}C \)[/tex] term, subtract 32 from both sides of the equation:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
3. Solve for [tex]\( C \)[/tex]:
To get [tex]\( C \)[/tex] by itself, you need to undo the multiplication by [tex]\( \frac{9}{5} \)[/tex]. You can do this by multiplying both sides of the equation by the reciprocal of [tex]\( \frac{9}{5} \)[/tex], which is [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
Now, the formula is rearranged to highlight [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This is the temperature conversion formula that you can use to find degrees Celsius given degrees Fahrenheit.
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