document.write( "Question 69948: 13/12 x + 1/12 x = 9x+ 1/6 + 11/12 How do I work this problem to obtain the right answer ?13 is at the top and 12 is on bottom as 1 over 2 and 1 over 6 and 11 over 12. Thanks for your help and how to work the problem. \n" ); document.write( "
Algebra.Com's Answer #49838 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 13/12 x + 1/12 x = 9x+ 1/6 + 11/12 How do I work this problem to obtain the right answer ?13 is at the top and 12 is on bottom as 1 over 2 and 1 over 6 and 11 over 12. Thanks for your help and how to work the problem. \n" ); document.write( ": \n" ); document.write( "The problem as I see it, assume you meant the 2nd term as 1/2 instead of 1/12: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "It would be easier to solve if we got rid of all these denominators, do you agree? \n" ); document.write( "Note that the common denominator would be 12 and as long as we multiply every \n" ); document.write( "term by 12 we will preserve equality, right? \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "We can do some serious canceling here, resulting in: \n" ); document.write( " 13x + 6x = 12(9x) + 2(1) + 11 \n" ); document.write( " 13x + 6x = 108x + 2 + 11 \n" ); document.write( " 19x = 108x + 13 \n" ); document.write( " 19x - 108x = 13 \n" ); document.write( "-89x = 13 \n" ); document.write( "x = 13/-89 \n" ); document.write( "x = -.146 a pretty nasty number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Let's substitute it for x in the original eq and see if it works: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Using a calculator and decimals of course \n" ); document.write( " -.158 - .073 = -1.314 + .167 + .916 \n" ); document.write( " .231 = .231; equality reigns \n" ); document.write( ": \n" ); document.write( "Hope this clarifies things for you.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |