document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101023>Question 1101023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system:<BR>\n" );
document.write( "{ 2y - 3x = 13xy<BR>\n" );
document.write( "{ 5y + 2x = 4xy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715593 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C11%2C%0D%0A2y%2C%22-%22%2C3x%2C%22=%22%2C13xy%2C%22--%3E%22%2C4y%2C%22-%22%2C6x%2C%22=%22%2C26xy%2C%0D%0A5y%2C%22%2B%22%2C2x%2C%22=%22%2C4xy%2C%22--%3E%22%2C15y%2C%22-%22%2C6x%2C%22=%22%2C12xy%2C%0D%0A%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22--%3E%22%2C19y%2C%22+%22%2C%22+%22%2C%22=%22%2C38xy%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are two ways that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19y=38xy ALIGN=MIDDLE  ALT=\"19y=38xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > could be true: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%22or%22%2Cx=1%2F2%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%22or%22%2Cx=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, we can see two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C5y%2B2x=4xy%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C5y%2B2x=4xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C0%2B2x=0y%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C0%2B2x=0y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=0%2Cx=0%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=0%2Cx=0%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=system%28x=1%2F2%2C5y%2B2x=4xy%29 ALIGN=MIDDLE  ALT=\"system%28x=1%2F2%2C5y%2B2x=4xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=1%2F2%2C5y%2B1=2y%29 ALIGN=MIDDLE  ALT=\"system%28x=1%2F2%2C5y%2B1=2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=1%2F2%2C3y%2B1=0%29 ALIGN=MIDDLE  ALT=\"system%28x=1%2F2%2C3y%2B1=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28x=1%2F2%2Cy=-1%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x=1%2F2%2Cy=-1%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Those are solutions.<BR>\n" );
document.write( "Could there be another solution?<BR>\n" );
document.write( "Does this make sense?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y-3x=13xy ALIGN=MIDDLE  ALT=\"2y-3x=13xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y-13xy=3x ALIGN=MIDDLE  ALT=\"2y-13xy=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-13x%29y=3x ALIGN=MIDDLE  ALT=\"%282-13x%29y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2F%282-13x%29 ALIGN=MIDDLE  ALT=\"y=3x%2F%282-13x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B2x=4xy ALIGN=MIDDLE  ALT=\"5y%2B2x=4xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-4xy=-2x ALIGN=MIDDLE  ALT=\"5y-4xy=-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-4x%29y=-2x ALIGN=MIDDLE  ALT=\"%285-4x%29y=-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2F%285-4x%29 ALIGN=MIDDLE  ALT=\"y=-2x%2F%285-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We could graph those two rational functions<BR>\n" );
document.write( "and their horizontal and vertical asymptotes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C4%2C-2%2C4%2C%0D%0Agraph%28300%2C300%2C-2%2C4%2C-2%2C4%2C-3%2C3x%2F%282-13x%29%2C-2x%2F%285-4x%29%29%2C%0D%0Aline%281.25%2C-2%2C1.25%2C4%29%2Cline%282%2F13%2C-2%2C2%2F13%2C4%29%2C%0D%0Aline%28-3%2C-3%2F13%2C4%2C-3%2F13%29%2Cline%28-3%2C0.5%2C4%2C0.5%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks like we've got all the solutions. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );