document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81644>Question 81644</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013133770x/algebrahomeworkh>Algebra I</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve for x when it is in the denominator on both sides of a rational equation?  And what are the restrictions for X? This is the problem:  \r<BR>\n" );
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document.write( "4/x = 5/x - 1/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58491 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=58491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The restrictions in this case is that x cannot equal to zero because you cannot divide by zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Fx%29 ALIGN=MIDDLE  ALT=\"%284%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Fx+-+1%2F2%29 ALIGN=MIDDLE  ALT=\"%285%2Fx+-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%294%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%282x%294%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%295%2Fx+-+%282x%291%2F2%29 ALIGN=MIDDLE  ALT=\"%28%282x%295%2Fx+-+%282x%291%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [find the LCD (2x); multiply each term by the LCD]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "8=10-x [cancel wherever possible]<BR>\n" );
document.write( "8=10-x [solve for the x-term]<BR>\n" );
document.write( "8-8=10-8-x<BR>\n" );
document.write( "0=2-x<BR>\n" );
document.write( "-2=2-2-x<BR>\n" );
document.write( "-2=-x<BR>\n" );
document.write( "-2/-1=-x/-1<BR>\n" );
document.write( "2=x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "check by plugging (x=2) back into the original equation and solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Fx%29 ALIGN=MIDDLE  ALT=\"%284%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Fx+-+1%2F2%29 ALIGN=MIDDLE  ALT=\"%285%2Fx+-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F2%29 ALIGN=MIDDLE  ALT=\"%284%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F2+-+1%2F2%29 ALIGN=MIDDLE  ALT=\"%285%2F2+-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F2%29 ALIGN=MIDDLE  ALT=\"%284%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2=2 [checks out] </SPAN>\n" );
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