document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400010>Question 400010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am attempting to solve system of linear equations through elimination. I have an entire list of them due but if you can help me promptly with this one, I should be able to use it as a guide with the others. Thank you in advance.\r<BR>\n" );
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document.write( "2x-y+z=1<BR>\n" );
document.write( "x+y-7=2<BR>\n" );
document.write( "3x-y+z=0\r<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 #283248 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=283248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x-y+z=1<BR>\n" );
document.write( "x+y-7z=2<BR>\n" );
document.write( "3x-y+z=0 <BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Move the 2nd equation to the top of the list to get:<BR>\n" );
document.write( "x+y-7z=2<BR>\n" );
document.write( "2x-y+z=1<BR>\n" );
document.write( "3x-y+z=0<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Subtract 2R1 from R2 <BR>\n" );
document.write( "Subtract 3R1 from R3<BR>\n" );
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document.write( "2x-y+z   =  1<BR>\n" );
document.write( "0-3y+15z = -3<BR>\n" );
document.write( "0-4y+22z = -6<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Subtract R3 from R2 to get:<BR>\n" );
document.write( "2x-y+z   =  1<BR>\n" );
document.write( "0+ y-7z =   3<BR>\n" );
document.write( "0-4y+22z = -6<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Add 4R2 to R3 to get:<BR>\n" );
document.write( "2x-y+z   =  1<BR>\n" );
document.write( "0+ y-7z =   3<BR>\n" );
document.write( "0 +0-6z =  +6<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Divide R3  by -6 to get:<BR>\n" );
document.write( "2x-y  +z   =  1<BR>\n" );
document.write( "0+ y -7z  =   3<BR>\n" );
document.write( "0 +0 + z =   -1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Substitute z = -1 into R2 and into R1<BR>\n" );
document.write( "2x- y - 1   =  1<BR>\n" );
document.write( "0 + y + 7 =  3<BR>\n" );
document.write( "0 + 0 + z =  -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"y\" in R2 to get:<BR>\n" );
document.write( "2x- y -1 =   1<BR>\n" );
document.write( "0+ y + 0 =  -4<BR>\n" );
document.write( "0 + 0+ z =  -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute y = -4 into R1 to get: <BR>\n" );
document.write( "2x + 4 -1 =   1<BR>\n" );
document.write( "0+ y + 0 =  -4<BR>\n" );
document.write( "0 + 0+ z =  -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve R1 for \"x\":<BR>\n" );
document.write( "x + 0 + 0 = -1<BR>\n" );
document.write( "0 + y + 0 = -4<BR>\n" );
document.write( "0 + 0 + z = -1<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "You will find more examples using Google<BR>\n" );
document.write( "on the web.  Search for \"solving linear systems\".<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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