document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153596>Question 1153596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the intersection of lines  2x+3y-15=0<BR>\n" );
document.write( "and x= 2+3t<BR>\n" );
document.write( "y=-6-2t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775861 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=775861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the intersection of lines  2x+3y-15=0<BR>\n" );
document.write( "and x= 2+3t<BR>\n" );
document.write( "y=-6-2t<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "x= 2+3t --> t = (x-2)/3<BR>\n" );
document.write( "y=-6-2t<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "y=-6-2t<BR>\n" );
document.write( "Sub for t<BR>\n" );
document.write( "y = -6 - 2(x-2)/3<BR>\n" );
document.write( "3y = -18 - 2x + 4 = -2x - 14<BR>\n" );
document.write( "2x + 3y = -14<BR>\n" );
document.write( "2x + 3y = 15 <BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "They're parallel, no intersection. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );