document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069276>Question 1069276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the system 3x+5=13 and ax+by=39 has more than one solution, determine the sum of a and b  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684472 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the system 3x+5=13 and ax+by=39 has more than one solution, determine the sum of a and b <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Both are linear equations, their graphs are straight lines.<BR>\n" );
document.write( "If the graphs are parallel, there is no intersection, no solution.<BR>\n" );
document.write( "If they are not parallel, there is 1 intersection, 1 solution.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Only if they're dependent, ie, the same line twice, can there be > 1 solution.<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "3x+5=13 and ax+by=39<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "39/13 = 3<BR>\n" );
document.write( "--> 3 times 3x+5y=13  (I think you meant 5y)<BR>\n" );
document.write( "9x + 15y = 39<BR>\n" );
document.write( "a+b = 24\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );