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Given F=9/5C+32. Solve for C.
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a) subtract 32 b) multiply by \(\frac{5}{9}\)
why would you multiply by 5/9 ?
because when you subtract \(32\) you get \[F-32=\frac{9}{5}C\] and you don't want \(\frac{9}{5}C\) you want \(C\)
so if you multiply by the reciprocal of \(\frac{9}{5}\) namely \(\frac{5}{9}\) you get \(C\)
so in order to get rid of the fraction 9/5 i would have to multiply by the reciprocal?
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yes
because \[\frac{5}{9}\times \frac{9}{5}=1\]
|dw:1408908696766:dw| 1. Subtract 32 from both sides 2. Multiply both sides by 5. 3. Divide both sides by 9. and you get it.
|dw:1408908975831:dw|
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