document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036413>Question 1036413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the following lines intersect. Find the coordinates of the point of intersection and the angle of intersection.\r<BR>\n" );
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document.write( "L1:    x=7+2t      <BR>\n" );
document.write( "       y=4+t <BR>\n" );
document.write( "and  \r<BR>\n" );
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document.write( "L2:    x=-3+3s<BR>\n" );
document.write( "       y=4-s\r<BR>\n" );
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document.write( "Thanks sooo much :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651075 by </B><A HREF=/tutors/aboutme.mpl?userid=Aldorozos><B>Aldorozos(172)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Aldorozos><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have to get rid of t<BR>\n" );
document.write( "X=7+2t<BR>\n" );
document.write( "Y= 4+ t therefore t= y-4<BR>\n" );
document.write( "Substituting t in the first equation we get x= 7+2(y-4)<BR>\n" );
document.write( "Therefore x= 2y-1\r<BR>\n" );
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document.write( "Now we do the same with the second equation by eliminating s<BR>\n" );
document.write( "X= -3 +3(4-y)<BR>\n" );
document.write( "Therefore x=9-y\r<BR>\n" );
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document.write( "Now from the first equation we have x=2y-1<BR>\n" );
document.write( "And from the second equation we have x=9-y<BR>\n" );
document.write( "Since both are equal to x therefore both sides have to be equal which means 2y-1= 9-y<BR>\n" );
document.write( "Solving this equation gives us y=10. If y=10 and x=9-y then x= -1 the point x=-1 and y=10 is the intersection. Since we find the point, this means the lines are not parallel and they intersect.\r<BR>\n" );
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