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) ![]() 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |