document.write( "Question 188841: 2/3x + 1/6x = 2 \n" ); document.write( "
Algebra.Com's Answer #141628 by feliz1965(151)![]() ![]() ![]() You can put this solution on YOUR website! First find the LCD. The LCD is 6x.\r \n" ); document.write( "\n" ); document.write( "We now multiply every term on both sides of the equation by the LCD. This is done to remove all fractions. \r \n" ); document.write( "\n" ); document.write( "(2/3x) times 6x = 4\r \n" ); document.write( "\n" ); document.write( "(1/6x) times 6x = 1\r \n" ); document.write( "\n" ); document.write( "2 times 6x = 12x\r \n" ); document.write( "\n" ); document.write( "We now have the following linear equation:\r \n" ); document.write( "\n" ); document.write( "4 + 1 = 12x\r \n" ); document.write( "\n" ); document.write( "5 = 12x\r \n" ); document.write( "\n" ); document.write( "5/12 = x\r \n" ); document.write( "\n" ); document.write( "====================================\r \n" ); document.write( "\n" ); document.write( "To make sure the answer is x = 5/12, replace every x you see in the original fractional equation given. After doing the math, you will see that \n" ); document.write( "2 = 2 proving that the right answer is the fraction 5/12.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |