document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395394>Question 395394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I could definitely use help with the following:  Solve the following system of equations using matrices and guassian or gauss-jordan elimination. Here is the system of equations:\r<BR>\n" );
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document.write( "3a+b-c=0<BR>\n" );
document.write( "2a+3b-5c=1<BR>\n" );
document.write( "a-2b+3c=-4\r<BR>\n" );
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document.write( "My augmented matrix is:\r<BR>\n" );
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document.write( "3  1  -1  0<BR>\n" );
document.write( "2  3  -5  1<BR>\n" );
document.write( "1  -2  3  -4\r<BR>\n" );
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document.write( "I swapped R3 and R1->R1\r<BR>\n" );
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document.write( "1  -2  3  -4<BR>\n" );
document.write( "2  3  -5  1<BR>\n" );
document.write( "3  1  -1  0\r<BR>\n" );
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document.write( "Now I'm stuck. Could a tutor please help? Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280593 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=280593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is the system of equations: <BR>\n" );
document.write( "3a+b-c=0<BR>\n" );
document.write( "2a+3b-5c=1<BR>\n" );
document.write( "a-2b+3c=-4 <BR>\n" );
document.write( "My augmented matrix is: <BR>\n" );
document.write( "3 1 -1 0<BR>\n" );
document.write( "2 3 -5 1<BR>\n" );
document.write( "1 -2 3 -4 \r<BR>\n" );
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document.write( "I swapped R3 and R1->R1 <BR>\n" );
document.write( "1 -2 3 -4<BR>\n" );
document.write( "2 3 -5 1<BR>\n" );
document.write( "3 1 -1 0 <BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Add -2 times R1 to R2<BR>\n" );
document.write( "Add -3 times R1 to R3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "1 -2 3 -4<BR>\n" );
document.write( "0 7 -11 9<BR>\n" );
document.write( "0 7 -10 12<BR>\n" );
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document.write( "Subtract R2 from R3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1 -2 3 -4<BR>\n" );
document.write( "0 7 -11 9<BR>\n" );
document.write( "0 0  1  3<BR>\n" );
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document.write( "z = 3<BR>\n" );
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document.write( "Substitute into R2 to solve for \"y\":<BR>\n" );
document.write( "7y -11*3 = 9<BR>\n" );
document.write( "7y = 42<BR>\n" );
document.write( "y = 6<BR>\n" );
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document.write( "Substitute into$1 to solve for \"x\":<BR>\n" );
document.write( "x -2*6+3*3 = -4<BR>\n" );
document.write( "x -12+9 = -4<BR>\n" );
document.write( "x-3= -4<BR>\n" );
document.write( "x = -1<BR>\n" );
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document.write( "Solution: (-1,6,3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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