document.write( "Question 330566: How can I make it easier for myself to understand steps to solving rational equations like this one... x-5/x-8 = x-1/x-5 \n" ); document.write( "
Algebra.Com's Answer #237030 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
(x-5)/(x-8)=(x-1)/(x-5) if this is what you mean THEN:
\n" ); document.write( "Cross multiply.
\n" ); document.write( "(x-8)(x-1)=(x-5)(x-5)
\n" ); document.write( "x^2-9x+8=x^2-10x+25 cancel out thw x^2 terms & combine like terms.
\n" ); document.write( "-9x+10x=25-8
\n" ); document.write( "x=17 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "(17-5)/(17-8)=(17-1)/(17-5)
\n" ); document.write( "12/9=16/12
\n" ); document.write( "9*16=12*12
\n" ); document.write( "144=144\r
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