document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126015>Question 1126015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation algebraically.<BR>\n" );
document.write( "(7/(x-7))+(3/(x+2)=(9x)/(x^2-5x-14) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742363 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F%28x-7%29%29%2B%283%2F%28x%2B2%29%29=%289x%29%2F%28x%5E2-5x-14%29 ALIGN=MIDDLE  ALT=\"%287%2F%28x-7%29%29%2B%283%2F%28x%2B2%29%29=%289x%29%2F%28x%5E2-5x-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "x=7 and x=-2 are excluded from the domain.<br><BR>\n" );
document.write( "Multiply through by the common denominator and solve:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x%2B2%29%2B3%28x-7%29+=+9x ALIGN=MIDDLE  ALT=\"7%28x%2B2%29%2B3%28x-7%29+=+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B14%2B3x-21+=+9x ALIGN=MIDDLE  ALT=\"7x%2B14%2B3x-21+=+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7 ALIGN=MIDDLE  ALT=\"x+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The algebraic solution to the equation is one of the values that is excluded from the domain, so the equation has no solution.<br><BR>\n" );
document.write( "Here is a graph of the DIFFERENCE between the two expressions in the equation; if there were a solution to the equation, this graph would show 0 at some point.<br><BR>\n" );
document.write( "You can see the vertical asymptote at x = -2.  At x=7 there is only a single point \"hole\" in the graph; this graphing utility does something strange to show it...!<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-20%2C20%2C-1%2C1%2C%287%2F%28x-7%29%29%2B%283%2F%28x%2B2%29%29-%289x%29%2F%28x%5E2-5x-14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );