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)\"\" \"About 
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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( "\"%2813%2F12%29x+%2B+%281%2F2%29x+=+9x+%2B+1%2F6+%2B+11%2F12\"
\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( "\"12%2813%2F12%29x+%2B12%281%2F2%29x+=+12%289x%29+%2B+12%281%2F6%29+%2B+12%2811%2F12%29\"
\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( "\"%2813%2F12%29%28-.146%29+%2B+%281%2F2%29%28-.146%29+=+9%28-.146%29+%2B+1%2F6+%2B+11%2F12\"
\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
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