document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84286>Question 84286</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534465390/algebrahomeworkh>finite mathmatics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Here is one that I am having some problems figuring out how to solve. It is one of the end of chapter 2 work exercises and it would help me understand this greatly.\r<BR>\n" );
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document.write( "The solution to the system of equations below is\r<BR>\n" );
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document.write( "X + 2Y - Z = -3<BR>\n" );
document.write( "2X - Y + 3Z = 14<BR>\n" );
document.write( "X + 4Y - 2Z = -8\r<BR>\n" );
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document.write( "1. (1, 1, 6)<BR>\n" );
document.write( "2. (1, 3, 5)<BR>\n" );
document.write( "3. (4, -1, 4)<BR>\n" );
document.write( "4. (2, -1, 3)\r<BR>\n" );
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document.write( "PLEASE SHOW MO HOW TO GET THE CORRECT ANSWER.... I am going bonkers!!!\r<BR>\n" );
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document.write( "Keith </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60693 by </B><A HREF=/tutors/aboutme.mpl?userid=PS><B>PS(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PS><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Keith,\r<BR>\n" );
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document.write( "Here is how you should go about this.\r<BR>\n" );
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document.write( "EQ 1 : X + 2Y - Z = -3<BR>\n" );
document.write( "EQ 2 : 2X - Y + 3Z = 14<BR>\n" );
document.write( "EQ 3 : X + 4Y - 2Z = -8 \r<BR>\n" );
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document.write( "Subtract from EQ 3 from EQ 1\r<BR>\n" );
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document.write( "   EQ 1 : X + 2Y - Z = -3<BR>\n" );
document.write( "-  EQ 3 : X + 4Y - 2Z = -8 \r<BR>\n" );
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document.write( "             -2Y  +Z  = 5   --------------I\r<BR>\n" );
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document.write( "Add I to EQ 1\r<BR>\n" );
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document.write( "        X + 2Y - Z = -3<BR>\n" );
document.write( "          -2Y  +Z  = 5   <BR>\n" );
document.write( "_________________________\r<BR>\n" );
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document.write( "       X          = 2\r<BR>\n" );
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document.write( "Substute this in EQ 2\r<BR>\n" );
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document.write( "EQ 2 : 2X - Y + 3Z = 14<BR>\n" );
document.write( "        4 - Y + 3Z = 14\r<BR>\n" );
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document.write( "          - Y + 3Z = 10 ------II\r<BR>\n" );
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document.write( "Multiply II by 2\r<BR>\n" );
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document.write( "         -2Y + 6Y = 20\r<BR>\n" );
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document.write( "Subtract I from this<BR>\n" );
document.write( "         -2Y + 6Y = 20<BR>\n" );
document.write( "         -2Y  +Z  = 5   <BR>\n" );
document.write( "     ____________________\r<BR>\n" );
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document.write( "             5Z  = 15<BR>\n" );
document.write( "              Z   = 3\r<BR>\n" );
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document.write( "Substitute in EQ 1\r<BR>\n" );
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document.write( "          X + 2Y - Z = -3<BR>\n" );
document.write( "          4 + 2Y - 3 = -3\r<BR>\n" );
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document.write( "             2Y = -2\r<BR>\n" );
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document.write( "              Y = -1\r<BR>\n" );
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document.write( "(X,Y,Z) is ( 2, -1, 3)\r<BR>\n" );
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document.write( "So the answer is option 4 </SPAN>\n" );
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