document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81622>Question 81622</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013133770X/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve for x when it is in the denominator of a rational expression such as in the following:\r<BR>\n" );
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document.write( "1/8 - 3/5 = 1/x    What are the restrictions?      What is the solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58460 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THERE ARE NO RESTRICTIONS.<BR>\n" );
document.write( "FIRST YOU MUST COMBINE ALL THE FRACTIONS BY FINDING A COMMON DENOMINATOR LIKE 40.<BR>\n" );
document.write( "1/8=5*1/40=5/40 & -3/5=-3*8/40=-24/40 <BR>\n" );
document.write( "5/40-24/40=1/X<BR>\n" );
document.write( "(5-24)/40=1/X<BR>\n" );
document.write( "-19/40=1/X NOW CROSS MULTIPLY <BR>\n" );
document.write( "-19X=40<BR>\n" );
document.write( "X=40/-19<BR>\n" );
document.write( "X=-40/19 ANSWER.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "1/8-3/5=1/(-40/19) A FRACTION IN THE DENOMINATOR (-40/19) NEEDS TO BE INVERTED AND THEN MULTIPLIED BY THE NUMERATOR THUS:<BR>\n" );
document.write( "1/8-3/5=-19/40<BR>\n" );
document.write( "5/40-24/40=-19/40<BR>\n" );
document.write( "-19/40=-19/40  </SPAN>\n" );
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