Question 916973
4      	x	+	1      	y	+	3      	z	=	11      			--------------				1
2      	x		-3      	y		2      	z	=	9      			--------------				2
1      	x	+	1      	y	+	1      	z	=	-3      			--------------				3
																
consider equation 1 &2				Eliminate	y											
Multiply 1 by		3      					-5      									
Multiply 2 by		1      					4      									
we get																
12      	x		+	3      	y	+	9      	z	=	33						
2      	x			-3      	y	+	2      	z	=	9						
Add the two																
14      	x			0      	y	+	11      	z	=	42	-------------				4	
consider equation 2 & 3				Eliminate	y											
Multiply 2 by				1      												
Multiply 3 by				3      												
we get																
2      	x		-3      	y	+	2      	z	=	9      							
3      	x	+	3      	y	+	3      	z	=	-9      							
Add the two																
5      	x	+	0      	y	+	5      	z	=	0      	-------------5				5		
Consider (4) & (5)			Eliminate	x												
Multiply 4 by				-5      												
Multiply (5) by				14      												
we get																
-70      	x		-55      	z	=	-210      										
70      	x	+	70      	z	=	0      										
Add the two																
0      	x	+	15      	z	=	-210      										
/	15      															
z	=	-14      														
5      	x	+	5      	z=	0      											
5      	x	+	-70      	=	0      											
			x	=	14      											
Plug x & z in eq (1)																
4      	x	+	1      	y	+	3      	z	=	11      			--------------				1
	56      	+	1      	y		-42      		=	11      							
			1      	y				=	-3      							
				y	=				-3      							
	x=	14      	y=	-3      	z=	-14