document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44966>Question 44966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x+3y-z=4<BR>\n" );
document.write( "3x+2y+2z=6<BR>\n" );
document.write( "4x-y+3z=5\r<BR>\n" );
document.write( "\n" );
document.write( "solve in three variables </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29800 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) 2x + 3y - z =  4<BR>\n" );
document.write( "(2) 3x + 2y + 2z = 6<BR>\n" );
document.write( "(3) 4x - y + 3z = 5<BR>\n" );
document.write( "multiply (3) by 2<BR>\n" );
document.write( " 8x - 2y + 6z = 10<BR>\n" );
document.write( "(2) 3x + 2y + 2z = 6<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "11x + 8z = 16<BR>\n" );
document.write( "multiply (3) by 3<BR>\n" );
document.write( "(3) 12x - 3y + 9z = 15<BR>\n" );
document.write( "(1) 2x + 3y - z = 4<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "14x + 8z = 19<BR>\n" );
document.write( "11x + 8z = 16<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "14x + 8z = 19<BR>\n" );
document.write( "-11x -8z = -16<BR>\n" );
document.write( "3x = 3<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "11x + 8z = 16<BR>\n" );
document.write( "11*1 +8z = 16<BR>\n" );
document.write( "8z = 5<BR>\n" );
document.write( "z = 5/8<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(1) 2x + 3y - z =  4<BR>\n" );
document.write( "2*1 + 3y - 5/8 = 4<BR>\n" );
document.write( "16 + 24y - 5 = 32<BR>\n" );
document.write( "24y = 21<BR>\n" );
document.write( "y = 21/24<BR>\n" );
document.write( "y = 7/8<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "check<BR>\n" );
document.write( "(1) 2x + 3y - z =  4<BR>\n" );
document.write( "(2) 3x + 2y + 2z = 6<BR>\n" );
document.write( "(3) 4x - y + 3z = 5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(1) 2*1 + 3*(7/8) - 5/8 =  4<BR>\n" );
document.write( "(2) 3*1 + 2*(7/8) + 2*(5/8) = 6<BR>\n" );
document.write( "(3) 4*1 - 7/8 + 3*(5/8) = 5<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "(1) 16/8 + 21/8 - 5/8 = 32/8<BR>\n" );
document.write( "32/8 = 32/8<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(2) 3*1 + 2*(7/8) + 2*(5/8) = 6<BR>\n" );
document.write( "24/8 + 14/8 + 10/8 = 48/8<BR>\n" );
document.write( "48/8 = 48/8<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(3) 4*1 - 7/8 + 3*(5/8) = 5<BR>\n" );
document.write( "32/8 - 7/8 + 15/8 = 40/8<BR>\n" );
document.write( "40/8 = 40/8<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );