document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391924>Question 391924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the linear system<BR>\n" );
document.write( "3x+4y=s<BR>\n" );
document.write( "6x+8y=t<BR>\n" );
document.write( "(a)determine particular values for s and t so that the system is consistent.<BR>\n" );
document.write( "(b)determine particular values for s and t so that the system is inconsistent.<BR>\n" );
document.write( "(c)what relationship between the values of s and t will guarantee that the system is consistent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278095 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) Let t = 10 and s = 5.  Then the system is consistent.  (But the system is dependent, i.e., it has infinitely many solutions).\r<BR>\n" );
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document.write( "(b) Let t = 10 and s = 9.  Then the system is inconsistent (representing two parallel lines).\r<BR>\n" );
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document.write( "(c) When t = 2s then the system is always consistent (but dependent). </SPAN>\n" );
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