document.write( "Question 143103: Simplify: \"+%287x+-+9%29+%2F++%28x%5E2+-+25%29+\" - \"+3+%2F+%28x+-+5%29+\" = \"+2+%2F+%28x+-+5%29+\" \n" ); document.write( "
Algebra.Com's Answer #104151 by checkley77(12844)\"\" \"About 
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(7x-9)/(x^2-25)-3/(x-5)=2/(x-5)
\n" ); document.write( "(7x-9)/x^2-25)=3/(x-5)+2/(x-5)
\n" ); document.write( "(7x-9)/(x-5)(x+5)=5/(x-5) now cancel out the (x-5) terms in the denominators.
\n" ); document.write( "(7x-9)/(x+5)=5 now cross multiply.
\n" ); document.write( "7x-9=5(x+5)
\n" ); document.write( "7x-9=5x+25
\n" ); document.write( "7x-5x=25+9
\n" ); document.write( "2x=34
\n" ); document.write( "x=34/2
\n" ); document.write( "x=17 answer.
\n" ); document.write( "Proof:
\n" ); document.write( "(7*17-9)/(17^2-25)-3/(17-5)=2/(17-5)
\n" ); document.write( "(119-9)/(289-25)-3/(17-5)=2/917-5)
\n" ); document.write( "110/264-3/12=2/12
\n" ); document.write( "5/12-3/12=2/12
\n" ); document.write( "2/12=2/12\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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