document.write( "Question 314273: 2/17 = x-6/x+9 If I have to use LCD 17 is a prime number and 9 is 3X3 meaning that I need to multiply by 51 to get rid of denominators then 51(2/17) = 51(x-6/x+9) then I got stuck can you please help me understand what will follow? \n" ); document.write( "
Algebra.Com's Answer #224744 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Assume the problem is:
\n" ); document.write( "\"2%2F17\" = \"%28x-6%29%2F%28x%2B9%29\"
\n" ); document.write( "The LCD is 17(x+9), but with this problem you can cross multiply
\n" ); document.write( "17(x-6) = 2(x+9)
\n" ); document.write( ":
\n" ); document.write( "17x - 102 = 2x + 18
\n" ); document.write( ":
\n" ); document.write( "17x - 2x = 18 + 102
\n" ); document.write( ":
\n" ); document.write( "15x = 120
\n" ); document.write( "x = \"120%2F15\"
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the original equation:
\n" ); document.write( "\"2%2F17\" = \"%288-6%29%2F%288%2B9%29\"
\n" ); document.write( "\"2%2F17\" = \"2%2F17\"
\n" ); document.write( "
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