document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086861>Question 1086861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations.<BR>\n" );
document.write( "x-4y+z=11<BR>\n" );
document.write( "4x+y-2z=5<BR>\n" );
document.write( "x-4y+2z=9\r<BR>\n" );
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document.write( "A.The unique solution to the system is <BR>\n" );
document.write( "&#8203;(Type an exact answer in simplified&#8203; form.)<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "All three equations describe the same plane. \r<BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "The system has infinitely many solutions. The solution described in terms of variable z is=\r<BR>\n" );
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document.write( "D.<BR>\n" );
document.write( "There is no solution to the system. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701124 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-4y+z=11  [1]<BR>\n" );
document.write( "4x+y-2z=5  [2]<BR>\n" );
document.write( "x-4y+2z=9  [3]<BR>\n" );
document.write( "Subtract [1] from [3]:<BR>\n" );
document.write( "This gives z = -2<BR>\n" );
document.write( "Substitute this value into [2] and solve for y in terms of x:<BR>\n" );
document.write( "4x + y + 4 = 5<BR>\n" );
document.write( "y = 1 - 4x<BR>\n" );
document.write( "Use either [1] or [3] to solve for y:<BR>\n" );
document.write( "x - 4(1 - 4x) - 2 = 11<BR>\n" );
document.write( "17x = 17<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "Thus y = 1 - 4*1 = -3<BR>\n" );
document.write( "Ans A. The unique solution is 1, -3, -2 </SPAN>\n" );
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