document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378575>Question 378575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alright, I do my homework on my math lab and it has an option called \"show me how.\" This is the problem, Use the Gauss-Jordan method if the system has infinitely many solutions, give the solutions, z arbitrary. \r<BR>\n" );
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document.write( "x-5y+4z+1<BR>\n" );
document.write( "3x-2y+3z=-2\r<BR>\n" );
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document.write( "Now i get down to here(just imagine there are brackets around these because i'm not able to put them in but they are matrices). \r<BR>\n" );
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document.write( "1            -5            4    | 1<BR>\n" );
document.write( "0              1       -9/13     |-5/13\r<BR>\n" );
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document.write( "now i'm confused on what to do from here, i understand that i need to turn the -5 in to a 0 but the computer keeps telling me i'm wrong. so please don't skip any steps whatsoever. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268923 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add 5 times the second row to the first to get the new matrix\r<BR>\n" );
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document.write( "1              0        7/13     | -12/13\r\n" );
document.write( "0              1       -9/13     | -5/13\r\n" );
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document.write( "Now the matrix is in reduced row echelon form (ie we can't do any more steps)\r<BR>\n" );
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document.write( "So the first line means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x+\frac{7}{13}z=-\frac{12}{13}\">. Multiply EVERY term by the LCD 13 to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 13x+7z=-12\"> and then solve for 'x' to get  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=\frac{-7z-12}{13}\">\r<BR>\n" );
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document.write( "The second line means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y-\frac{9}{13}z=-\frac{5}{13}\">. Multiply EVERY term by the LCD 13 to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 13y-9z=-5\"> and then solve for 'y' to get  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y=\frac{9z-5}{13}\">\r<BR>\n" );
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document.write( "So the solution as an ordered triple is in the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{-7z-12}{13} \ , \ \ \frac{9z-5}{13} \ , \ \ z\right)\"> where 'z' is any arbitrary real number.\r<BR>\n" );
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document.write( "Because 'z' can be any real number, this means that the system has an infinite number of solutions. \r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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