document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076487>Question 1076487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the following: 2/3x+y=16 and kx+3y=48\r<BR>\n" );
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document.write( "For what values of k does the linear system below have:<BR>\n" );
document.write( "a) infinite solutions?<BR>\n" );
document.write( "b) one solution?<BR>\n" );
document.write( "c) 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 #691094 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52878)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "2/3x +  y = 16 \r\n" );
document.write( "  kx + 3y = 48\r\n" );
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document.write( "For what values of k does the linear system below have:\r\n" );
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document.write( "a) infinitely many solutions?    - At k = 2.  Then the equations and right hand sides are proportional, and the system is DEPENDENT.\r\n" );
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document.write( "b) one solution?                 - At any other value of k =/= 2.\r\n" );
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document.write( "c) no solution?                  - There is NO such a value of k.\r\n" );
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