document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683913>Question 683913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would you please help me solve this equation:\r<BR>\n" );
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document.write( "Solve the system analytically:<BR>\n" );
document.write( "x+y+z=-4<BR>\n" );
document.write( "2x+6y+2z=8<BR>\n" );
document.write( "-x+7y-3z=40\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423850 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=423850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1	x	+	1	y	+	1	z	=	-4			--------------1			<BR>\n" );
document.write( "2	x	+	6	y		2	z	=	8			--------------	2		<BR>\n" );
document.write( "-1	x	+	7	y	+		-3	z	40			--------------	3		<BR>\n" );
document.write( "															<BR>\n" );
document.write( "consider equation 1 &2				Eliminate	y										<BR>\n" );
document.write( "Multiply 1 by		-6					-5								<BR>\n" );
document.write( "Multiply 2 by		1					4								<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "-6	x		+	-6	y	+	-6	z	=	24					<BR>\n" );
document.write( "2	x		+	6	y	+	2	z	=	8					<BR>\n" );
document.write( "Add the two															<BR>\n" );
document.write( "-4	x		+	0	y	+	-4	z	=	32	-------------				4<BR>\n" );
document.write( "consider equation 2 & 3				Eliminate	y										<BR>\n" );
document.write( "Multiply 2 by				-7											<BR>\n" );
document.write( "Multiply 3 by				6											<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "-14	x	+	-42	y	+	-14	z	=	-56						<BR>\n" );
document.write( "-6	x	+	42	y	+	-18	z	=	240						<BR>\n" );
document.write( "Add the two															<BR>\n" );
document.write( "-20	x	+	0	y	+	-32	z	=	184	-------------5				5	<BR>\n" );
document.write( "Consider (4) & (5)			Eliminate	x											<BR>\n" );
document.write( "Multiply 4 by				-5											<BR>\n" );
document.write( "Multiply (5) by				1											<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "20	x	+	20	z	=	-160									<BR>\n" );
document.write( "-20	x	+	-32	z	=	184									<BR>\n" );
document.write( "Add the two															<BR>\n" );
document.write( "0	x	+	-12	z	=	24									<BR>\n" );
document.write( "/	-69840														<BR>\n" );
document.write( "z	=	-2													<BR>\n" );
document.write( "															<BR>\n" );
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document.write( "															<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Plug the value of			z	in		(5)									<BR>\n" );
document.write( "-20	x	+	-32	z	=	184									<BR>\n" );
document.write( "-20	x	=	120												<BR>\n" );
document.write( "x	=	-6	OR												<BR>\n" );
document.write( "plug value of x & z in					1										<BR>\n" );
document.write( "-6	+	1	y	+	-2	=	-4								<BR>\n" );
document.write( "1	y	=	-4	+	6	+	2								<BR>\n" );
document.write( "y	=	4													<BR>\n" );
document.write( "x=-6,y=4,z=-2 </SPAN>\n" );
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