document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791741>Question 791741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) no solution. Find the solution, if one exists. <BR>\n" );
document.write( "5x  -  4y = -7<BR>\n" );
document.write( "-10x  + 8y = 14\r<BR>\n" );
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document.write( "Lost and confused.  I have read and watched lectures on this but cannot figure it out.  Thanks for the help.\r<BR>\n" );
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document.write( "Doug </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479706 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Each of the equations will graph to a straight line.  If the two graphs intersect at one point, then there is one solution.  If the two graphs are parallel, then there are no solutions because parallel lines do not intersect.  But if they are the same line, then they intersect at every point and there are infinite solutions.  Multiply your first equation by -2 and then write back and tell me what you think the configuration of the graphs of the two lines are.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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