SOLUTION: The temperature where Fahrenheit and Celsius are equal is at what degree? {{{F=32+(9/5)C}}}

Algebra ->  College  -> Linear Algebra -> SOLUTION: The temperature where Fahrenheit and Celsius are equal is at what degree? {{{F=32+(9/5)C}}}      Log On


   

Question 13936: The temperature where Fahrenheit and Celsius are equal is at what degree?
F=32%2B%289%2F5%29C
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
In the formula F=32%2B%289%2F5%29C, let F = C, and solve:

+C=+32+%2B+%289%2F5%29%2AC

Multiply both sides by 5:
5C+=+160+%2B+9C
-4C+=+160
+C+=+-40

So, -40 degrees F = -40 degrees C

Check: +F+=+32+%2B+%289%2F5%29%2AC
+F+=+32+%2B+%289%2F5%29%2A%28-40%29+
F+=+32+%2B+%289%2A%28-8%29%29
F+=+32+-+72=+-40+

R^2 at SCC