document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75286>Question 75286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with Rational Equations. It says to solve the equation choosing a method. \r<BR>\n" );
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document.write( "39.  1/4+4/x=1/x <BR>\n" );
document.write( "40.  -3x/(x+1)=-2/(x-1)<BR>\n" );
document.write( "41.  x/6-1/x=1/6\r<BR>\n" );
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document.write( "Im using Algebra 1 Concept and Skills By McDougal Chapter 11.7. If you can do these problems and explain them to me I'd be very grateful. Thank You!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54028 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With rational expressions, try to get rid of the denominator by finding the LCD.\r<BR>\n" );
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document.write( "39. 1/4+4/x=1/x  [LCD = 4x]\r<BR>\n" );
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document.write( "4x(1/4+4/x=1/x) [multiply each term by the LCD and cancel wherever possible]<BR>\n" );
document.write( "4x/4+(4)(4x)/x=4x/x<BR>\n" );
document.write( "x+16=4 <BR>\n" );
document.write( "x+16-4=4-4<BR>\n" );
document.write( "x+12=0<BR>\n" );
document.write( "[solve for x]<BR>\n" );
document.write( "x=-12<BR>\n" );
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document.write( "Check by plugging x=-12 back into the original equation:<BR>\n" );
document.write( "1/4+4/(-12)=1/(-12)<BR>\n" );
document.write( "4/-48=-1/12<BR>\n" );
document.write( "-1/12=-1/12 [checks out]<BR>\n" );
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document.write( "40. -3x/(x+1)=-2/(x-1)<BR>\n" );
document.write( "LCD=(x+1)(x-1)<BR>\n" );
document.write( "(x+1)(x-1)[-3x/(x+1)=-2/(x-1)]<BR>\n" );
document.write( "(-3x)(x-1)=(-2)(x+1) [simplify]<BR>\n" );
document.write( "-3x^2+3x=-2x-2<BR>\n" );
document.write( "-3x^2+3x+2x+2=0<BR>\n" );
document.write( "-3x^2+5x+2=0<BR>\n" );
document.write( "Use the quadratic formula to solve for zero:<BR>\n" );
document.write( "x= 2 or x=-1/3\r<BR>\n" );
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document.write( "41. x/6-1/x=1/6 <BR>\n" );
document.write( "LCD=6x<BR>\n" );
document.write( "6x(x/6-1/x=1/6 )<BR>\n" );
document.write( "(6x)(x)/6-(6x)/x=(6x)/6<BR>\n" );
document.write( "x^2-6=x<BR>\n" );
document.write( "x^2-x-6=0<BR>\n" );
document.write( "Use the quadratic formula to solve for x:<BR>\n" );
document.write( "x=3 or x=-2\r<BR>\n" );
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