document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179096>Question 1179096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations for the unknown variables.\r<BR>\n" );
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document.write( "3x + 3y = 3\r<BR>\n" );
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document.write( "-3x  -  2z = -11\r<BR>\n" );
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document.write( "y + z = -1\r<BR>\n" );
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document.write( "so far i have <BR>\n" );
document.write( "y=1-x<BR>\n" );
document.write( "x=(2z-11)/-3<BR>\n" );
document.write( "and z=-1-y\r<BR>\n" );
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document.write( "i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...<BR>\n" );
document.write( "please help! <BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808619 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10551)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations for the unknown variables.\r<BR>\n" );
document.write( "\n" );
document.write( "3x + 3y = 3\r<BR>\n" );
document.write( "\n" );
document.write( "-3x  -  2z = -11\r<BR>\n" );
document.write( "\n" );
document.write( "y + z = -1\r<BR>\n" );
document.write( "\n" );
document.write( "so far i have <BR>\n" );
document.write( "y=1-x<BR>\n" );
document.write( "x=(2z-11)/-3<BR>\n" );
document.write( "and z=-1-y\r<BR>\n" );
document.write( "\n" );
document.write( "i cannot figure how to get these equations to solve for a single variable. I am used to problems that have all variables in at least two of the equations. each equation having only two variables has thrown me for a loop...<BR>\n" );
document.write( "please help! <BR>\n" );
document.write( "Thank you!<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">All those people are telling you RUBBISH! This problem is NOT as complex as they all make it out to be. So, IGNORE them ALL!!<BR>\n" );
document.write( "The best way is to line these up like this: <BR>\n" );
document.write( "  3x + 3y      = 3 ------ eq (i)<BR>\n" );
document.write( "- 3x      - 2z = - 11 --- eq (ii)<BR>\n" );
document.write( "        y +  z = - 1 ---- eq (iii)<BR>\n" );
document.write( "       3y - 2z = - 8 ---- Adding eqs (i) & (ii) ---- eq (iv)<BR>\n" );
document.write( "       2y + 2z = - 2 ---- Multiplying eq (iii) by 2 --- eq (v)<BR>\n" );
document.write( "       5y = - 10 ----- Adding eqs (v) & (iv)<BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C5%2C+y%2C+%22=%22%2C+%28-+10%29%2F5%2C+%22=%22%2C+-+2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C5%2C+y%2C+%22=%22%2C+%28-+10%29%2F5%2C+%22=%22%2C+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute - 2 for y in eq (iii) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+z%2C+%22=%22%2C+1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C3%2C+z%2C+%22=%22%2C+1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute - 2 for y in eq (i) to get:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+3%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's IT!! NO MUMBO JUMBO!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );