document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84493>Question 84493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you haelp me solve the system of equations. using the Gaussian elimination qith back substitution or gauss-jordan elimination\r<BR>\n" );
document.write( "\n" );
document.write( "x+5y= 0<BR>\n" );
document.write( "x+6y+z=1<BR>\n" );
document.write( "-2x-y-z=-41\r<BR>\n" );
document.write( "\n" );
document.write( "can you break it down to me on how to solve problems of this type </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61006 by </B><A HREF=/tutors/aboutme.mpl?userid=vertciel><B>vertciel(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vertciel><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=61006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
document.write( "\n" );
document.write( "This is a system of three equations. You have to eliminate for only each term, and then you use this term to help you solve the others.\r<BR>\n" );
document.write( "\n" );
document.write( "x + 5y = 0 ----------(1)<BR>\n" );
document.write( "x + 6y + z = 1 ------(2)<BR>\n" );
document.write( "-2x - y - z = -41 ---(3)\r<BR>\n" );
document.write( "\n" );
document.write( "(2) + (3): -x + 5y = -40 ---(4) <-- I am doing this so I can get rid of the z for the time being.\r<BR>\n" );
document.write( "\n" );
document.write( "(4) + (1): 10y = -40\r<BR>\n" );
document.write( "\n" );
document.write( "             y = -4\r<BR>\n" );
document.write( "\n" );
document.write( "Since you know that x + 5y = 0, x = -5y.\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, x = -5(-4)\r<BR>\n" );
document.write( "\n" );
document.write( "x = 20\r<BR>\n" );
document.write( "\n" );
document.write( "I'll leave it to you to find z. Please write back for more help if needed. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );