document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133463>Question 133463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 1/(2x – 4) + 1/(x – 2) = 3/2. What is x?<BR>\n" );
document.write( "This is a question from my teacher. I think I'm supposed to add the first two equations, then cross multiply that answer by 3/2 to get the answer, but I'ts just not coming together for me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97643 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First thing to do is to find a common denominator\r<BR>\n" );
document.write( "\n" );
document.write( "1/(2x – 4) + 1/(x – 2) = 3/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-2%29%2F%28%282x-4%29%28x-2%29%29+%2B+%282x-4%29%2F%28%28x-2%29%282x-4%29%29+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+%28x-2%29%2F%28%282x-4%29%28x-2%29%29+%2B+%282x-4%29%2F%28%28x-2%29%282x-4%29%29+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-2%29%2B+%282x-4%29%29%2F%28%282x-4%29%28x-2%29%29+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+%28%28x-2%29%2B+%282x-4%29%29%2F%28%282x-4%29%28x-2%29%29+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now you cross multiply.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2A+%28%28x-2%29%2B+%282x-4%29%29+=+3+%2A+%28%282x-4%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"+2+%2A+%28%28x-2%29%2B+%282x-4%29%29+=+3+%2A+%28%282x-4%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2A+%283x+-6%29+=+3%2A+%282x%5E2+-8x+%2B8%29 ALIGN=MIDDLE  ALT=\"+2+%2A+%283x+-6%29+=+3%2A+%282x%5E2+-8x+%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+-12+=+6x%5E2+-24x+%2B+24 ALIGN=MIDDLE  ALT=\"+6x+-12+=+6x%5E2+-24x+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now collect like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+6x%5E2+-30x+%2B+36+ ALIGN=MIDDLE  ALT=\"+0+=+6x%5E2+-30x+%2B+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Divide through by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2+-+5x+%2B+6 ALIGN=MIDDLE  ALT=\"+0+=+x%5E2+-+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Finally factor and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28x+-6%29+%28x+%2B1%29+ ALIGN=MIDDLE  ALT=\"+0+=+%28x+-6%29+%28x+%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x = 6, x = -1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );