document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069131>Question 1069131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the system\r<BR>\n" );
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document.write( "2x-3y+4z= -14<BR>\n" );
document.write( "4x+2y-3z= -17<BR>\n" );
document.write( "6x-5y+7z= -37\r<BR>\n" );
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document.write( "find x,y,z  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684365 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set up the determinant matrix, which are the coefficients of the variables in a 3 x 3 matrix.  Find the determinant, which is 8.<BR>\n" );
document.write( "Put the column of constants in the first column of the above matrix, replacing those values with -14,-17, and -37.  This will give the value for x, when divided by the 8 above.<BR>\n" );
document.write( "Det (x)=-40/8=-5<BR>\n" );
document.write( "Similarly, do y<BR>\n" );
document.write( "Det (y)=-0<BR>\n" );
document.write( "Det (z)=-8/8=-1<BR>\n" );
document.write( "(-5, 0, -1) ANSWER<BR>\n" );
document.write( "Check-10-4=-14<BR>\n" );
document.write( "-20-(-3)=-17<BR>\n" );
document.write( "-30-7=-37 </SPAN>\n" );
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