document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31557>Question 31557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (40) Use Cramers rule to solve for z: x+2y-3z=-24<BR>\n" );
document.write( "                                      2x-y+3z=13<BR>\n" );
document.write( "                                      x+2y+3z=0<BR>\n" );
document.write( "POssible Answers:<BR>\n" );
document.write( "(A) -5<BR>\n" );
document.write( "(B) -6<BR>\n" );
document.write( "(C) -2<BR>\n" );
document.write( "(D) 4\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18262 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determinat D = Determinant of [1,2,-3;2,-1,3;1,2,3]<BR>\n" );
document.write( "= 1[(-1)(3)-(2*3)] - 2[2*3-2*(-3)] + 1(2*3-(-1)(-3)]<BR>\n" );
document.write( "= 1*(-9) - 2*12 + 3<BR>\n" );
document.write( "=-9-24+3 = -30\r<BR>\n" );
document.write( "\n" );
document.write( "D(z) = Determinant of [1,2,-24;2,-1,13;1,2,0]<BR>\n" );
document.write( "= 1(-26) - 2(48) + 1(26-24)<BR>\n" );
document.write( "= -26 - 96 + 2<BR>\n" );
document.write( "= -122 + 2<BR>\n" );
document.write( "= -120\r<BR>\n" );
document.write( "\n" );
document.write( "z = D(z)/D = -120/-30 = 4\r<BR>\n" );
document.write( "\n" );
document.write( "Correction option is D </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );