document.write( "Question 675040: The denominator of a certain fraction is th
\n" ); document.write( "ree times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fraction
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Algebra.Com's Answer #420135 by ReadingBoosters(3246)\"\" \"About 
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x = denominator
\n" ); document.write( "y = numerator
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\n" ); document.write( "x = 3y
\n" ); document.write( "\"%28y%2B2%29%2F%28x-2%29+=+3%2F5\"
\n" ); document.write( "...
\n" ); document.write( "Substitute x into the second equation
\n" ); document.write( "\"%28y%2B2%29%2F%283y-2%29+=+3%2F5\"
\n" ); document.write( "Cross Multiply
\n" ); document.write( "5(y+2) = 3(3y-2)
\n" ); document.write( "...
\n" ); document.write( "Distribute
\n" ); document.write( "5y + 10 = 9y - 6
\n" ); document.write( "...
\n" ); document.write( "Group like terms
\n" ); document.write( "5y - 9y = -6 - 10
\n" ); document.write( "-4y = -16
\n" ); document.write( "...
\n" ); document.write( "Divide both sides by -4
\n" ); document.write( "\"highlight_green%28y+=+4%29\"
\n" ); document.write( "x = 3(4) = \"highlight_green%28x=12%29\"
\n" ); document.write( "...
\n" ); document.write( "Original fraction is \"highlight%284%2F12%29\"
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\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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