document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #287702 by richard1234(7193) $\"\"$ $\"About$

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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.\r
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\n" ); document.write( "\n" ); document.write( "Note that $\"F+=+%289%2F5%29C+%2B+32\"$ . If we replace $\"C+=+5F\"$ , we obtain\r
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\n" ); document.write( "\n" ); document.write( " $\"F+=+%289%2F5%29%285F%29+%2B+32\"$ --> $\"F+=+9F+%2B+32\"$ --> F = -4. Since $\"C+=+5F\"$ it follows that $\"C+=+-20\"$ so it is -4 degrees Fahrenheit (-20 degrees Celsius). \n" ); document.write( "

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