document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022100>Question 1022100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the pair of lines y = 2x + 1 and x - y = 5 are parallel or intersect. If the lines intersect, find the point of intersection.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637815 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, we can rewrite the second one to be<BR>\n" );
document.write( "y = x - 5 and we can see it is not parallel to<BR>\n" );
document.write( "y = 2x + 1<BR>\n" );
document.write( "We can set them equal to each other (since they are both equal to y)...<BR>\n" );
document.write( "x - 5 = 2x + 1<BR>\n" );
document.write( "-x = 6<BR>\n" );
document.write( "x = -6<BR>\n" );
document.write( "and then<BR>\n" );
document.write( "y = -6 - 5 = -11<BR>\n" );
document.write( "The point of intersection is<BR>\n" );
document.write( "(-6, -11) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );