document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086862>Question 1086862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+2y-2z=2<BR>\n" );
document.write( "3x-2y+2z=-1<BR>\n" );
document.write( "x-2y-z=0\r<BR>\n" );
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document.write( "A<BR>\n" );
document.write( "The unique solution to the system is left\r<BR>\n" );
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document.write( "The system has infinitely many solutions. The solution described in terms of variable z is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701104 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "x+2y-2z=2<BR>\n" );
document.write( "3x-2y+2z=-1<BR>\n" );
document.write( "x-2y-z=0<BR>\n" );
document.write( "A<BR>\n" );
document.write( "The unique solution to the system is left<BR>\n" );
document.write( "The system has infinitely many solutions. The solution described in terms of variable z is<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "x+2y-2z=2............(1)<BR>\n" );
document.write( "3x-2y+2z=-1..........(2)<BR>\n" );
document.write( "x-2y-z=0.............(3)<BR>\n" );
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document.write( "(1)+(2) =><BR>\n" );
document.write( "4x=1  => x=1/4<BR>\n" );
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document.write( "(1)+(3)<BR>\n" );
document.write( "2x-3z=2  =>  <BR>\n" );
document.write( "2/4-3z=2 [x=1/4] =><BR>\n" );
document.write( "3z=-1/2<BR>\n" );
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document.write( "Substitute x and z in (1)<BR>\n" );
document.write( "1/4+2y-2(-1/2)=2  =><BR>\n" );
document.write( "2y=2-1/4-1=3/4  =><BR>\n" );
document.write( "y=3/8<BR>\n" );
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document.write( "Therefore there is a unique solution set, S={1/4, 3/8, -1/2}<BR>\n" );
document.write( "This conclusion can also be obtained by seeing that the three equations are not linearly dependent.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );