document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935789>Question 935789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of equation by using any method 4a+3b+c=17, a-3b+2c=3, 11a-2b+3c=36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569221 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=569221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4.00	a	+	3.00	b	+	1.00	c	=	17.00			--------------				1<BR>\n" );
document.write( "1.00	a		-3.00	b		2.00	c	=	3.00			--------------				2<BR>\n" );
document.write( "11.00	a		-2.00	b	+	3.00	c	=	36.00			--------------				3<BR>\n" );
document.write( "																<BR>\n" );
document.write( "consider equation 1 &2				Eliminate	b											<BR>\n" );
document.write( "Multiply 1 by		1.00					-5.00									<BR>\n" );
document.write( "Multiply 2 by		1.00					4.00									<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "4.00	a		+	3.00	b	+	1.00	c	=	17						<BR>\n" );
document.write( "1.00	a			-3.00	b	+	2.00	c	=	3						<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "5.00	a			0.00	b	+	3.00	c	=	20	-------------				4	<BR>\n" );
document.write( "consider equation 2 & 3				Eliminate	b											<BR>\n" );
document.write( "Multiply 2 by				2.00												<BR>\n" );
document.write( "Multiply 3 by				-3.00												<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "2.00	a		-6.00	b	+	4.00	c	=	6.00							<BR>\n" );
document.write( "-33.00	a	+	6.00	b		-9.00	c	=	-108.00							<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "-31.00	a	+	0.00	b	+	-5.00	c	=	-102.00	-------------5				5		<BR>\n" );
document.write( "Consider (4) & (5)			Eliminate	a												<BR>\n" );
document.write( "Multiply 4 by				-31.00												<BR>\n" );
document.write( "Multiply (5) by				5.00												<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "-155.00	a		-93.00	c	=	-620.00										<BR>\n" );
document.write( "-155.00	a		-25.00	c	=	-510.00										<BR>\n" );
document.write( "Add the two																<BR>\n" );
document.write( "0.00	a		-118.00	c	=	-1,130.00										<BR>\n" );
document.write( "/	-118.00															<BR>\n" );
document.write( "c	=	9.58														<BR>\n" );
document.write( "-31.00	x	+	-5.00	z=	-102.00											<BR>\n" );
document.write( "-31.00	x	+	-47.88	=	-102.00											<BR>\n" );
document.write( "			x	=	1.75											<BR>\n" );
document.write( "Plug x & z in eq (1)																<BR>\n" );
document.write( "4.00	x	+	3.00	y	+	1.00	z	=	17.00			--------------				1<BR>\n" );
document.write( "	6.98	+	3.00	y	+	9.58		=	17.00							<BR>\n" );
document.write( "			3.00	y				=	0.44							<BR>\n" );
document.write( "				y	=				0.15							<BR>\n" );
document.write( "	x=	1.75	y=	0.15	z=	9.58										<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );