document.write( "Question 133105: Solve.\r
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document.write( "3/x = 7/x - 1/3 \n" );
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Algebra.Com's Answer #97329 by nycsharkman(136) ![]() You can put this solution on YOUR website! It's called a rational expression because the word rational means fraction.\r \n" ); document.write( "\n" ); document.write( "3/x = 7/x - 1/3\r \n" ); document.write( "\n" ); document.write( "Multiply everything on both sides of the equation by the LCD.\r \n" ); document.write( "\n" ); document.write( "Our LCD is 3x.\r \n" ); document.write( "\n" ); document.write( "3/x times 3x = 9\r \n" ); document.write( "\n" ); document.write( "7/x times 3x = 21\r \n" ); document.write( "\n" ); document.write( "-1/3 times 3x = -x\r \n" ); document.write( "\n" ); document.write( "We have removed all fractions. This is the reason why we must multiply by the LCD.\r \n" ); document.write( "\n" ); document.write( "9 = 21 - x\r \n" ); document.write( "\n" ); document.write( "9 - 21 = -x\r \n" ); document.write( "\n" ); document.write( "-12 = -x\r \n" ); document.write( "\n" ); document.write( "-12/-1 = x\r \n" ); document.write( "\n" ); document.write( "12 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |