document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353734>Question 353734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this. Find the value of k such that the system of linear equations is inconsistent. <BR>\n" );
document.write( "4x + 2y  =  6 <BR>\n" );
document.write( "&#8722;6x + ky  =  &#8722;8 <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 #252853 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can form the augmented matrix for this system, reduce it to echelon form, and find out that k should be equal to -3. <BR>\n" );
document.write( "Done by your usual substitution method, the first equation leads to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3-2x ALIGN=MIDDLE  ALT=\"y+=+3-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Put into the 2nd equation, we get<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2Bk%2A%283-2x%29=8 ALIGN=MIDDLE  ALT=\"-6x%2Bk%2A%283-2x%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B3k-2kx+=+8 ALIGN=MIDDLE  ALT=\"-6x%2B3k-2kx+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282k%2B6%29x+=+6-3k ALIGN=MIDDLE  ALT=\"-%282k%2B6%29x+=+6-3k\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%286-3k%29%2F%282k%2B6%29 ALIGN=MIDDLE  ALT=\"x+=+-%286-3k%29%2F%282k%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "the denominator will be undefined if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2k%2B6=0 ALIGN=MIDDLE  ALT=\"2k%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-3 ALIGN=MIDDLE  ALT=\"k+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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