document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2108>Question 2108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please show me how to do the following problem: \r<BR>\n" );
document.write( "\n" );
document.write( "Solve for X, Y, and Z in the following:\r<BR>\n" );
document.write( "\n" );
document.write( "22x + 5y + 7z = 12, 10x + 3y + 2z = 5, 9x + 2y + 12z = 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #939 by </B><A HREF=/tutors/aboutme.mpl?userid=DeepaEvangeline><B>DeepaEvangeline(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DeepaEvangeline><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=939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 22x+5y+7z=12 --- (1)<BR>\n" );
document.write( "10x+3y+2z=5  --- (2)<BR>\n" );
document.write( "9x+2y+12z=14 --- (3)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(1) x 3<BR>\n" );
document.write( "66x+15y+21z=36 --- (4)\r<BR>\n" );
document.write( "\n" );
document.write( "eqn(2) x 5<BR>\n" );
document.write( "50x+15y+10z=25 --- (5)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(4) - eqn(5)<BR>\n" );
document.write( "16x+11z=11  --- (6)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(2) x 2<BR>\n" );
document.write( "20x+6y+4z=10  --- (7)\r<BR>\n" );
document.write( "\n" );
document.write( "eqn(3) x 3<BR>\n" );
document.write( "27x+6y+36z=42  --- (8)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(8) - eqn(7)<BR>\n" );
document.write( "7x+32z=32  --- (9)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(6) x 7 gives<BR>\n" );
document.write( "112x+77Z=77 --- (10)\r<BR>\n" );
document.write( "\n" );
document.write( "Eqn(9) x 16<BR>\n" );
document.write( "112x+512z=512 --- (11)\r<BR>\n" );
document.write( "\n" );
document.write( "eqn(11) - eqn(10)<BR>\n" );
document.write( "435z=435 => z = 1\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting the value of z = 1 in eqn(9) gives<BR>\n" );
document.write( "7x+32=32 => x = 0\r<BR>\n" );
document.write( "\n" );
document.write( "10x+3y+2z=5  --- (2)\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting the value of x = 0 and z = 1 in eqn(2) gives<BR>\n" );
document.write( "10.0+3y+2.1=5 => 3y = 3 => y = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x=0, y=1, z=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );