document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012421>Question 1012421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the two systems, 2x-4y=6 and ax-8y=2. What should be the value of a be in order for the equations to have no solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628340 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No solution means the lines are parallel. <BR>\n" );
document.write( "So the left hand side of the second equation would be a multiple of the left hand side of the first. <BR>\n" );
document.write( "Comparing the y coefficients, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28Z%29=-8 ALIGN=MIDDLE  ALT=\"-4%28Z%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=Z=2 ALIGN=MIDDLE  ALT=\"Z=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So multiplying the second equation by 2 will yield a parallel line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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