document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183898>Question 1183898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What should be the value(s) of k so that the system \r<BR>\n" );
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document.write( "2x - 5y = k<BR>\n" );
document.write( "kx + 3y = 1\r<BR>\n" );
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document.write( "will be inconsistent (no solution)?<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 #814389 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is another way to find the answer, if you haven't yet studied matrices.<br><BR>\n" );
document.write( "Two linear equations are inconsistent (the graphs are parallel lines) or equivalent (the graphs are the same line) if the ratio of the coefficients of the x and y terms is the same in both equations.<br><BR>\n" );
document.write( "In this example, the equations are inconsistent if<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28-5%29=k%2F3 ALIGN=MIDDLE  ALT=\"2%2F%28-5%29=k%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5k=6 ALIGN=MIDDLE  ALT=\"-5k=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-1.2 ALIGN=MIDDLE  ALT=\"k=-1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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