document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916125>Question 916125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system.\r<BR>\n" );
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document.write( "x+(1/3y)+z=13<BR>\n" );
document.write( "(1/2x)-y+(1/3z)=-2<BR>\n" );
document.write( "x+(1/2y)-(1/3z)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555914 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=555914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+(1/3y)+z=13<BR>\n" );
document.write( "(1/2x)-y+(1/3z)=-2<BR>\n" );
document.write( "x+(1/2y)-(1/3z)=2\r<BR>\n" );
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document.write( "Take LCM and simplify the equations to eliminate the denominators\r<BR>\n" );
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document.write( "3      	x	+	1      	y	+	3      	z	=	39      			--------------				1<BR>\n" );
document.write( "3      	x	+	-6      	y		2      	z	=	-12      			--------------				2<BR>\n" );
document.write( "6      	x	+	3      	y	+	-2      	z	=	12      			--------------				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( "18      	x		+	6      	y	+	18      	z	=	234						<BR>\n" );
document.write( "3      	x		+	-6      	y	+	2      	z	=	-12						<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "21      	x		+	0      	y	+	20      	z	=	222	-------------				4	<BR>\n" );
document.write( "consider equation 2 & 3				Eliminate	y											<BR>\n" );
document.write( "Multiply 2 by				1      												<BR>\n" );
document.write( "Multiply 3 by				2      												<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "3      	x	+	-6      	y	+	2      	z	=	-12      							<BR>\n" );
document.write( "12      	x	+	6      	y	+	-4      	z	=	24      							<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "15      	x	+	0      	y	+	-2      	z	=	12      	-------------5				5		<BR>\n" );
document.write( "Consider (4) & (5)			Eliminate	x												<BR>\n" );
document.write( "Multiply 4 by				-15      												<BR>\n" );
document.write( "Multiply (5) by				21      												<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "-315      	x	+	-300      	z	=	-3330      										<BR>\n" );
document.write( "315      	x	+	-42      	z	=	252      										<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "0      	x	+	-342      	z	=	-3078      										<BR>\n" );
document.write( "/	-342      															<BR>\n" );
document.write( "z	=	9      														<BR>\n" );
document.write( "15      	x	+	-2      	z=	12      											<BR>\n" );
document.write( "15      	x	+	-18      	=	12      											<BR>\n" );
document.write( "			x	=	2      											<BR>\n" );
document.write( "Plug x & z in eq (1)																<BR>\n" );
document.write( "3      	x	+	1      	y	+	3      	z	=	39      			--------------				1<BR>\n" );
document.write( "	6      	+	1      	y	+	27      		=	39      							<BR>\n" );
document.write( "			1      	y				=	6      							<BR>\n" );
document.write( "				y	=				6      							<BR>\n" );
document.write( "	x=	2      	y=	6      	z=	9      										\r<BR>\n" );
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document.write( " </SPAN>\n" );
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