document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467075>Question 467075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine and Solve a system of equation in three variables & define the variables:\r<BR>\n" );
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document.write( "The sum of three numbers is none.\r<BR>\n" );
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document.write( "Two times the first number plus the second number less the third number is 30.\r<BR>\n" );
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document.write( "Three times the first number subtract four times the second number plus two times the third number is -49?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320425 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=320425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y+z=	0			--------------				1<BR>\n" );
document.write( "2x+y-z=	30			--------------				2<BR>\n" );
document.write( "3x-4y+2z=-49		--------------				3<BR>\n" );
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document.write( "consider equation 1 &2				Eliminate y												<BR>\n" );
document.write( "Multiply 1 by	-1								Multiply 2 by 1									<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "-x-y-z=	0						<BR>\n" );
document.write( "2x+y-z=	30						<BR>\n" );
document.write( "Add the two 																<BR>\n" );
document.write( "x-2z=	30	-------------				4	<BR>\n" );
document.write( "consider equation 2 & 3	Eliminate y		<BR>\n" );
document.write( "Multiply 2 by -4											<BR>\n" );
document.write( "Multiply 3 by 	1												<BR>\n" );
document.write( "we get 																<BR>\n" );
document.write( "-8x-4y+4z=-120							<BR>\n" );
document.write( "3x-4y+2z=-49							<BR>\n" );
document.write( "Add the two 																<BR>\n" );
document.write( "-5x-8y+6z=-169	-------------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( "5x-10z=	150										<BR>\n" );
document.write( "-5x+6z=-169										<BR>\n" );
document.write( "Add the two 																<BR>\n" );
document.write( "-4z=-19										<BR>\n" );
document.write( "/-4															<BR>\n" );
document.write( "z=4.75	OR	4  3/ 4												<BR>\n" );
document.write( "																<BR>\n" );
document.write( "Plug the value of z in						5										<BR>\n" );
document.write( "-5x+28.5=-169										<BR>\n" );
document.write( "-5x=-197.5													<BR>\n" );
document.write( "x=39.5	OR 39  1/ 2												<BR>\n" );
document.write( "plug value of x & z in					1											<BR>\n" );
document.write( "39.5	+y+4.75	=	0									<BR>\n" );
document.write( "y=-39.5-4.75+0									<BR>\n" );
document.write( "	y=	-44.25	OR	-44 1/4												<BR>\n" );
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