document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147938>Question 1147938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following system of equations, what positive value of k would make the lines below parallel? kx+2y=8  and 18x+ky=12\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769303 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=769303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The graphs of Ax+By=M and Cx+Dy=N are parallel if, and only if,<br><BR>\n" );
document.write( "A/B = C/D<br><BR>\n" );
document.write( "or, alternatively,<br><BR>\n" );
document.write( "A/C = B/D<br><BR>\n" );
document.write( "Using the first ratio, we have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2F2+=+18%2Fk ALIGN=MIDDLE  ALT=\"k%2F2+=+18%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+=+36 ALIGN=MIDDLE  ALT=\"k%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+6 ALIGN=MIDDLE  ALT=\"k+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-6 ALIGN=MIDDLE  ALT=\"k+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Of course we choose k=6 for the answer, because the question asks for a positive value. </SPAN>\n" );
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