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 #808602 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "3x + 3y = 3<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "x+y=1<BR>\n" );
document.write( "x=1-y\r<BR>\n" );
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document.write( "-3x - 2z = -11 <BR>\n" );
document.write( "substitute x=1-y in above<BR>\n" );
document.write( "-3(1-y)-2z =-11<BR>\n" );
document.write( "-3+3y-2z=-11<BR>\n" );
document.write( "3y-2z =-8\r<BR>\n" );
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document.write( "3y-2z =-8-------------1<BR>\n" );
document.write( "y+z=-1<BR>\n" );
document.write( "multiply by 2 and add to the equation above<BR>\n" );
document.write( "2y+2z=-2--------------2<BR>\n" );
document.write( "5y=-10<BR>\n" );
document.write( "y=-2\r<BR>\n" );
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document.write( "plug y=-2 in y+z=-1<BR>\n" );
document.write( "z=1\r<BR>\n" );
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document.write( "x+y=1 given<BR>\n" );
document.write( "x+ -2 = 1<BR>\n" );
document.write( "x=3\r<BR>\n" );
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document.write( "x=3,y=-2, z=1\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );