Question 873248
2      	x	+	4      	y	+	1      	z	=	6      			--------------				1
1      	x	+	3      	y		1      	z	=	4      			--------------				2
2      	x	+	-2      	y	+	-1      	z	=	4      			--------------				3
																
consider equation 1 &2				Eliminate	y											
Multiply 1 by		-3      					-5      									
Multiply 2 by		4      					4      									
we get																
-6      	x		+	-12      	y	+	-3      	z	=	-18						
4      	x		+	12      	y	+	4      	z	=	16						
Add the two																
-2      	x		+	0      	y	+	1      	z	=	-2	-------------				4	
consider equation 2 & 3				Eliminate	y											
Multiply 2 by				2      												
Multiply 3 by				3      												
we get																
2      	x	+	6      	y	+	2      	z	=	8      							
6      	x	+	-6      	y	+	-3      	z	=	12      							
Add the two																
8      	x	+	0      	y	+	-1      	z	=	20      	-------------5				5		
Consider (4) & (5)			Eliminate	x												
Multiply 4 by				4      												
Multiply (5) by				1      												
we get																
-8      	x	+	4      	z	=	-8      										
8      	x	+	-1      	z	=	20      										
Add the two																
0      	x	+	3      	z	=	12      										
/	3      															
z	=	4