document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61909>Question 61909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -1. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42710 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=42710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = 1 + t<BR>\n" );
document.write( "y = 2t<BR>\n" );
document.write( "z = -3t<BR>\n" );
document.write( "x + y - z = -1<BR>\n" );
document.write( "1 + t + 2t + 3t = -1<BR>\n" );
document.write( "6t = -2<BR>\n" );
document.write( "t = -1/3<BR>\n" );
document.write( "x = 1 + t = 1 - 1/3 = 2/3<BR>\n" );
document.write( "y = 2t = 2(-1/3) = -2/3<BR>\n" );
document.write( "z = -3t = -3(-1/3) = 1<BR>\n" );
document.write( "( 2/3, -2/3, 1) </SPAN>\n" );
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