document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83015>Question 83015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I have been working this problem for three days and keep getting different answers. My downfall is the signs, I think.\r<BR>\n" );
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document.write( "Use Cramer's Rule to solve the linear system\r<BR>\n" );
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document.write( "4x + 3y - z = 12<BR>\n" );
document.write( "x - 3y + 3z = 14<BR>\n" );
document.write( "3x + y + z = 18\r<BR>\n" );
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document.write( "I know that D = 4  3   -1<BR>\n" );
document.write( "                1  -3   3<BR>\n" );
document.write( "                3  1    1\r<BR>\n" );
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document.write( "            Dx= 12  3   -1<BR>\n" );
document.write( "                14  -3   3<BR>\n" );
document.write( "                18  1    1\r<BR>\n" );
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document.write( "            Dy= 4   12  -1<BR>\n" );
document.write( "                1   14   3<BR>\n" );
document.write( "                3   18   1<BR>\n" );
document.write( "I understand how to proceed but the signs are giving me a headache. I am at the point that I just want to view the right answer in its entirity to see where I am going wrong. Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59597 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your setup looks OK\r<BR>\n" );
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document.write( "D=-12+27-1-9-12-3=-10 ... Dx=-36+162-14-54-36-42=-20 ... Dy=56+108-18-(-42)-216-12=-40<BR>\n" );
document.write( "Dz=-216+126+12+108-56-54=-80\r<BR>\n" );
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document.write( "so, by Cramer, x=2, y=4, and z=8 </SPAN>\n" );
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