document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129736>Question 1129736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please correctly help explain how the gaussian elimination works as this is my first encounter of the concept:\r<BR>\n" );
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document.write( "Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)<BR>\n" );
document.write( "x + y + z= 14<BR>\n" );
document.write( "2y + 3z= &#8722;14<BR>\n" );
document.write( "&#8722;16y &#8722; 24z= &#8722;112<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746320 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Your matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C%0D%0A1%2C%091%2C%091%2C%0914%2C%0D%0A0%2C%092%2C%093%2C%09-14%2C%0D%0A0%2C%09-16%2C%09-24%2C%09-112%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the pivot in the 1st column in the 1st row\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C%0D%0A1%2C%091%2C%091%2C%0914%2C%0D%0A0%2C%092%2C%093%2C%09-14%2C%0D%0A0%2C%09-16%2C%09-24%2C%09-112%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Make the pivot in the 2nd column by dividing the 2nd row by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C%0D%0A1%2C%091%2C%091%2C%0914%2C%0D%0A0%2C%091%2C%093%2F2%2C%09-7%2C%0D%0A0%2C%09-16%2C%09-24%2C%09-112%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Eliminate the 2nd column\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C%0D%0A1%2C%090%2C%09-1%2F2%2C%0921%2C%0D%0A0%2C%091%2C%093%2F2%2C%09-7%2C%0D%0A0%2C%090%2C%090%2C%09-224%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution set: there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=no ALIGN=MIDDLE  ALT=\"no\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+solution ALIGN=MIDDLE  ALT=\"+solution\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The system is inconsistent.\r<BR>\n" );
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