document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040799>Question 1040799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do the following two lines intersect? Answer yes or no, together with the point, if any <BR>\n" );
document.write( "5x+8y=-5<BR>\n" );
document.write( "-X-1.6y=14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655721 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x+8y=-5<BR>\n" );
document.write( "-X-1.6y=14<BR>\n" );
document.write( "multiply the second equation by 5<BR>\n" );
document.write( "-5x-8y=70<BR>\n" );
document.write( "add the two<BR>\n" );
document.write( "0x+0y=65<BR>\n" );
document.write( "they do not intersect.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "write in slope intercept form<BR>\n" );
document.write( "8y=-5x-5<BR>\n" );
document.write( "y=(-5/8)x-(5/8)<BR>\n" );
document.write( "the second<BR>\n" );
document.write( "-1.6y=-x+14<BR>\n" );
document.write( "y=-1/-1.6 +14/-1.6<BR>\n" );
document.write( "but 1/1.6 is 10/16 or 5/8<BR>\n" );
document.write( "y=(5/8)x-8 2/3<BR>\n" );
document.write( "The two lines have the same coefficient in front of the x, and the intercepts are different.  They are parallel lines by definition. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );