SOLUTION: If the temperature on a celsius scale is divided by five it is equal to the reading on a fahrenheit scale. Fifteen times the fahrenheit reading is equal to three times the celsius

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Question 408231: If the temperature on a celsius scale is divided by five it is equal to the reading on a fahrenheit scale. Fifteen times the fahrenheit reading is equal to three times the celsius reading. Find the temperature on each scale.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The first and second equations are equivalent because the first equation says that C%2F5+=+F --> C = 5F}}} and the second equation says that 15F+=+3C --> C+=+5F. Also, from either equation we can determine the temperature reading right away.

Note that F+=+%289%2F5%29C+%2B+32. If we replace C+=+5F, we obtain

F+=+%289%2F5%29%285F%29+%2B+32 --> F+=+9F+%2B+32 --> F = -4. Since C+=+5F it follows that C+=+-20 so it is -4 degrees Fahrenheit (-20 degrees Celsius).