document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198509>Question 1198509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations.<BR>\n" );
document.write( "X-2y+z=-3<BR>\n" );
document.write( "-x+4y=10<BR>\n" );
document.write( "2x-y+6z=7\r<BR>\n" );
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document.write( "The correct answer is one of the following.  Which one?\r<BR>\n" );
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document.write( "A) no solution <BR>\n" );
document.write( "B) x=2, y=3, z=1<BR>\n" );
document.write( "C) x=-1, y=4,z=2<BR>\n" );
document.write( "D) x=3, y=2, z=-1<BR>\n" );
document.write( "E) x=-2, y=3, z=-4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832412 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</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=832412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Solve the system of equations.<BR>\n" );
document.write( "X-2y+z=-3<BR>\n" );
document.write( "-x+4y=10<BR>\n" );
document.write( "2x-y+6z=7\r<BR>\n" );
document.write( "\n" );
document.write( "The correct answer is one of the following.  Which one?\r<BR>\n" );
document.write( "\n" );
document.write( "A) no solution <BR>\n" );
document.write( "B) x=2, y=3, z=1<BR>\n" );
document.write( "C) x=-1, y=4,z=2<BR>\n" );
document.write( "D) x=3, y=2, z=-1<BR>\n" );
document.write( "E) x=-2, y=3, z=-4<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;\"><font color = blue><font size = 4><b>   x - 2y + z = - 3 ---- eq (i)\r\n" );
document.write( " - x + 4y     =  10 ---- eq (ii)\r\n" );
document.write( "  2x - y + 6z =  7 ----- eq (iii)\r\n" );
document.write( "       2y + z = 7 ------ Adding eqs (i) & (ii) ----- eq (iv)\r\n" );
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document.write( " 2x - 4y + 2z = - 6 ----- Multiplying eq (i) by 2 ---- eq (v)\r\n" );
document.write( "      3y + 4z = 13 ------ Subtracting eq (v) from eq (iii) ---- eq (vi)\r\n" );
document.write( "      8y + 4z = 28 ------ Multiplying eq (iv) by 4 ---- eq (vii)\r\n" );
document.write( "           5y = 15 ------ Subtracting eq (vi) from eq (vii)\r\n" );
document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C5%2C+highlight%28y%29%2C+%22=%22%2C+15%2F5%2C+%22=%22%2C+highlight%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ></b>\r\n" );
document.write( "At this point, it's quite clear that it's either CHOICE B) or E).\r\n" );
document.write( "       2(3) + z = 7 ------ Substituting 3 for y in eq (iv)\r\n" );
document.write( "              z = 7 - 6 = 1 \r\n" );
document.write( "Now that we've found that y = 3, and z = 1, there's NO DOUBT that CHOICE B) is correct.\r\n" );
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document.write( "If you wish, you can still continue on to determine the value of x - although it's not necessary - by substituting\r\n" );
document.write( "3 for y in eq (ii), and solving for x. This way however, you will be 100% certain that CHOICE B) is indeed correct.</font></font></b></PRE> </SPAN>\n" );
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