document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105862>Question 1105862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the pair of limear equations 13x + ky= k and 39x+6y = k+4 has infinitely many solutions, then find k.\r<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 #720754 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the pair of limear equations 13x + ky= k and 39x+6y = k+4 has infinitely many solutions, then find k.<BR>\n" );
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document.write( "13x + ky = k<BR>\n" );
document.write( "39x + 6y = k+4<BR>\n" );
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document.write( "Find the slope of each line<BR>\n" );
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document.write( "13x + ky = k --> y = (k - 13x)/k = (-13/k)x + 1 --> m = -13/k<BR>\n" );
document.write( "39x + 6y = k+4 --> y = (k+4 - 39x)/6 = (-13/2)x + b --> m = -13/2<BR>\n" );
document.write( "-13/k = -13/2<BR>\n" );
document.write( "k = 2\r<BR>\n" );
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