document.write( "Question 81646This question is from textbook Algebra I
\n" ); document.write( ": How do you solve for x when it is in both the numerator and denominator on both sides of a rational equation? And what are the restrictions for x? This is the nasty problem: \r
\n" ); document.write( "\n" ); document.write( "x-7/x-9 = 2/x-9 \n" ); document.write( "
Algebra.Com's Answer #58479 by ankor@dixie-net.com(22740)\"\" \"About 
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:
\n" ); document.write( "Well, you are right, it is kind of nasty!
\n" ); document.write( ":
\n" ); document.write( "\"%28%28x-7%29%29%2F%28%28x-9%29%29\" = \"2%2F%28%28x-9%29%29\"
\n" ); document.write( ":
\n" ); document.write( "You can get rid of the denominators, multiply both sides by (x-9)
\n" ); document.write( "Leave you with:
\n" ); document.write( ":
\n" ); document.write( "x - 7 = 2
\n" ); document.write( ":
\n" ); document.write( "Add 7 to both sides:
\n" ); document.write( "x = 2 + 7
\n" ); document.write( "x = 9
\n" ); document.write( ":
\n" ); document.write( "However, if we substitute 9 for x, the denominators becomes (9-9)
\n" ); document.write( "Division by 0 is, of course, not allowed, so there is no solution
\n" ); document.write( ":
\n" ); document.write( "Did this help? \n" ); document.write( "
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