document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892648>Question 892648</A>: <I><SPAN STYLE=\"word-break: break-all;\">      x+y=10                                                                                                                <BR>\n" );
document.write( "     y+z=5   <BR>\n" );
document.write( "     z+x=4          <BR>\n" );
document.write( "solve by Cramers rule </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540688 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     1x+1y+0*z=10                                                                                                                <BR>\n" );
document.write( "    0*x+1y+1z=5   <BR>\n" );
document.write( "    1x+0*y+1z=4<BR>\n" );
document.write( "1,1,0,10<BR>\n" );
document.write( "0,1,1,5<BR>\n" );
document.write( "1,0,1,4\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "1,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 1<BR>\n" );
document.write( "add  down (0/1) *row 1 to row 2<BR>\n" );
document.write( "0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "1,0,1<BR>\n" );
document.write( "working on determinant 1<BR>\n" );
document.write( "add  down (-1/1) *row 1 to row 3<BR>\n" );
document.write( "0,-1,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "0,-1,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 1<BR>\n" );
document.write( "divide row 2 by 1/1<BR>\n" );
document.write( "0,1,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "0,-1,1<BR>\n" );
document.write( "working on determinant 1<BR>\n" );
document.write( "add  down (1/1) *row 2 to row 3<BR>\n" );
document.write( "0,0,2\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "0,0,2\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 1<BR>\n" );
document.write( "divide row 3 by 2/1<BR>\n" );
document.write( "0,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0<BR>\n" );
document.write( "0,1,1<BR>\n" );
document.write( "0,0,1<BR>\n" );
document.write( "1 1/1<BR>\n" );
document.write( "1 1/1<BR>\n" );
document.write( "2 2/1<BR>\n" );
document.write( "det 2<BR>\n" );
document.write( "# 1<BR>\n" );
document.write( "determinant<BR>\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "1,0,4\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "divide row 1 by 1/1<BR>\n" );
document.write( "1,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "1,0,4<BR>\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "add  down (0/1) *row 1 to row 2<BR>\n" );
document.write( "0,1,5\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "1,0,4<BR>\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "add  down (-1/1) *row 1 to row 3<BR>\n" );
document.write( "0,-1,-6\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "0,-1,-6\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "divide row 2 by 1/1<BR>\n" );
document.write( "0,1,5\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "0,-1,-6<BR>\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "add  down (1/1) *row 2 to row 3<BR>\n" );
document.write( "0,0,-1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "0,0,-1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 2<BR>\n" );
document.write( "divide row 3 by -1/1<BR>\n" );
document.write( "0,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,10<BR>\n" );
document.write( "0,1,5<BR>\n" );
document.write( "0,0,1<BR>\n" );
document.write( "1 1/1<BR>\n" );
document.write( "1 1/1<BR>\n" );
document.write( "-1 -1/1<BR>\n" );
document.write( "det -1<BR>\n" );
document.write( "# 2<BR>\n" );
document.write( "-1/2=-0.5<BR>\n" );
document.write( "z = -1/2<BR>\n" );
document.write( "determinant<BR>\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,5,1<BR>\n" );
document.write( "1,4,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "divide row 1 by 1/1<BR>\n" );
document.write( "1,10,0\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,5,1<BR>\n" );
document.write( "1,4,1<BR>\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "add  down (0/1) *row 1 to row 2<BR>\n" );
document.write( "0,5,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,5,1<BR>\n" );
document.write( "1,4,1<BR>\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "add  down (-1/1) *row 1 to row 3<BR>\n" );
document.write( "0,-6,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,5,1<BR>\n" );
document.write( "0,-6,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "divide row 2 by 5/1<BR>\n" );
document.write( "0,1,1/5\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,1,1/5<BR>\n" );
document.write( "0,-6,1<BR>\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "add  down (6/1) *row 2 to row 3<BR>\n" );
document.write( "0,0,11/5\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,1,1/5<BR>\n" );
document.write( "0,0,11/5\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 3<BR>\n" );
document.write( "divide row 3 by 11/5<BR>\n" );
document.write( "0,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,10,0<BR>\n" );
document.write( "0,1,1/5<BR>\n" );
document.write( "0,0,1<BR>\n" );
document.write( "1 1/1<BR>\n" );
document.write( "5 5/1<BR>\n" );
document.write( "2.2 11/5<BR>\n" );
document.write( "det 11<BR>\n" );
document.write( "# 3<BR>\n" );
document.write( "11/2=5.5<BR>\n" );
document.write( "y = 11/2<BR>\n" );
document.write( "determinant<BR>\n" );
document.write( "10,1,0<BR>\n" );
document.write( "5,1,1<BR>\n" );
document.write( "4,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "divide row 1 by 10/1<BR>\n" );
document.write( "1,1/10,0\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "5,1,1<BR>\n" );
document.write( "4,0,1<BR>\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "add  down (-5/1) *row 1 to row 2<BR>\n" );
document.write( "0,5/10,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "0,5/10,1<BR>\n" );
document.write( "4,0,1<BR>\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "add  down (-4/1) *row 1 to row 3<BR>\n" );
document.write( "0,-4/10,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "0,5/10,1<BR>\n" );
document.write( "0,-2/5,1\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "divide row 2 by 5/10<BR>\n" );
document.write( "0,1,2\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "0,1,2<BR>\n" );
document.write( "0,-2/5,1<BR>\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "add  down (2/5) *row 2 to row 3<BR>\n" );
document.write( "0,0,9/5\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "0,1,2<BR>\n" );
document.write( "0,0,9/5\r<BR>\n" );
document.write( "\n" );
document.write( "working on determinant 4<BR>\n" );
document.write( "divide row 3 by 9/5<BR>\n" );
document.write( "0,0,1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1/10,0<BR>\n" );
document.write( "0,1,2<BR>\n" );
document.write( "0,0,1<BR>\n" );
document.write( "10 10/1<BR>\n" );
document.write( "0.5 5/10<BR>\n" );
document.write( "1.8 9/5<BR>\n" );
document.write( "det 9<BR>\n" );
document.write( "# 4<BR>\n" );
document.write( "9/2=4.5<BR>\n" );
document.write( "x = 9/2\r<BR>\n" );
document.write( "\n" );
document.write( "Summary<BR>\n" );
document.write( "determinant = 2<BR>\n" );
document.write( "x = 9/2 = 4.5<BR>\n" );
document.write( "y = 11/2 = 5.5<BR>\n" );
document.write( "z = -1/2 = -0.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );