document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98073>Question 98073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine value of (k) as an exact decimal so that the system has no solution.<BR>\n" );
document.write( "5x-4y=8<BR>\n" );
document.write( "6x+ky=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71324 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=71324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine value of (k) as an exact decimal so that the system has no solution.<BR>\n" );
document.write( "5x-4y=8<BR>\n" );
document.write( "6x+ky=11<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The slope of the 1st equation is (5/4)<BR>\n" );
document.write( "The slope of the 2nd equation is (-6/k)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "To have no solution the slopes must te equal:<BR>\n" );
document.write( "-6/k = 5/4<BR>\n" );
document.write( "5k = -24<BR>\n" );
document.write( "k = -24/5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "If k=-24/5 the system will have no solution.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );