document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202811>Question 1202811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following augmented matrix in row-reduced form, assume that it is equivalent to an augmented matrix corresponding to a system of linear equations.\r<BR>\n" );
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document.write( "[1	0 |	5]	<BR>\n" );
document.write( "[0	1 |	−7]<BR>\n" );
document.write( "[0	0 |	0]\r<BR>\n" );
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document.write( "(a.) Determine the number of equations and number of variables in the corresponding system of linear equations.\r<BR>\n" );
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document.write( "Number of Equations: 3\r<BR>\n" );
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document.write( "Number of Variables: 2\r<BR>\n" );
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document.write( "(b.) Determine whether the system is underdetermined or overdetermined.<BR>\n" );
document.write( "Underdetermined\r<BR>\n" );
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document.write( "Overdetermined    <BR>\n" );
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document.write( "(c.) Find the solution(s) to the system, if it exists. State the solution as a point, using the parameter(s) s and t if needed. If the system is inconsistent, then enter NO SOLUTION.\r<BR>\n" );
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document.write( "Part c is where I am stuck. I got all parts but part c correct, I'm not sure of an easy way or a full way of knowing how to figure this out. I got to close to the solution for x, but I'm still lost.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837966 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The corresponding system of equations is<br><BR>\n" );
document.write( "(1) 1x+0y = 5<BR>\n" );
document.write( "(2) 0x+1y = -7<BR>\n" );
document.write( "(3) 0x+0y = 0<br><BR>\n" );
document.write( "part a: That is clearly 3 equations in 2 variables.<br><BR>\n" );
document.write( "part b: The formal mathematical definition of overdetermined is that there are more equations than there are variables.  So, despite that fact that the third equation provides no useful information that can contradict the solution obtained from the first two equations, this system is overdetermined.<br><BR>\n" );
document.write( "part c: The first two equations directly from the matrix give the single solution to the system: (x,y) = (5,-7)<br><BR>\n" );
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