document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954487>Question 954487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the value of k for which the system of linear equations<BR>\n" );
document.write( "2x	 + 	5y	 = 	10<BR>\n" );
document.write( "x	 + 	ky	 = 	5<BR>\n" );
document.write( "has infinitely many solutions. <BR>\n" );
document.write( "k =  <BR>\n" );
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document.write( "Find all solutions corresponding to this value of k. (Express x and y in terms of the parameter  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582956 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want k so that the two linear equations are equivalent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B5y=10%2C2%28x%2Bky%29=2%2A5%29 ALIGN=MIDDLE  ALT=\"system%282x%2B5y=10%2C2%28x%2Bky%29=2%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B5y=10%2C2x%2B2ky=10%29 ALIGN=MIDDLE  ALT=\"system%282x%2B5y=10%2C2x%2B2ky=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Corresponding terms must be equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=2k ALIGN=MIDDLE  ALT=\"5=2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=5%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28k=5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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