document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239526>Question 239526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods:<BR>\n" );
document.write( "a. X + 2Y + Z = 6<BR>\n" );
document.write( "    X + Y  = 4<BR>\n" );
document.write( "    3X + Y + Z =  8\r<BR>\n" );
document.write( "\n" );
document.write( "b. 10X + Y + Z = 12<BR>\n" );
document.write( "    8X + 2Y +Z  = 11<BR>\n" );
document.write( "    20X - 10Y - 2Z = 8\r<BR>\n" );
document.write( "\n" );
document.write( "c. 22X + 5Y + 7Z = 12<BR>\n" );
document.write( "    10X + 3Y + 2Z = 5<BR>\n" );
document.write( "    9X  +  2Y +  12Z = 14<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175815 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods:<BR>\n" );
document.write( "X + 2Y + Z = 6<BR>\n" );
document.write( "X + Y = 4<BR>\n" );
document.write( "3X + Y + Z = 8 <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Eliminate one variable in 2 of the eqns by getting the same coefficients and eliminating.<BR>\n" );
document.write( "Eliminate x<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "X + 2Y + Z = 6<BR>\n" );
document.write( "X + Y = 4<BR>\n" );
document.write( "--------------- Subtract<BR>\n" );
document.write( "0x + y + z = 2 Eqn A<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "X + Y = 4 times 3 --> 3x + 3y = 12<BR>\n" );
document.write( "3X + Y + Z = 8 <BR>\n" );
document.write( "3x + 3y + 0z=12<BR>\n" );
document.write( "----------------- Subtract<BR>\n" );
document.write( "0x - 2y + z = -4 Eqn B<BR>\n" );
document.write( "0x + y + z = 2 Eqn A<BR>\n" );
document.write( "--------------- Subtract<BR>\n" );
document.write( "-3y = -6<BR>\n" );
document.write( "y = 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "z = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Do the others the same way. email me for help, or to check your work @<BR>\n" );
document.write( "gsihoutx@aol.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );