Question 446843
x+y+z=	4--------------				1
x+2y+z	=1--------------				2
3x+2y-z	=-2--------------				3
consider equation 1 &2				Eliminate y		
Multiply 1 by	-2	
Multiply 2 by	1							
we get										
-2x-2y-2z=-8						
x+2y+z=1						
Add the two 																
-x-z	=-7	-------------				4	
consider equation 2 & 3				Eliminate y			-
Multiply 2 by 	-1				x=	7
Multiply 3 by	1												
we get 														
-x-2y-z	=-1							
3x+2y-z	=-2							
Add the two 														
2x-2z=-3	-------------5				5		
Consider (4) & (5)			Eliminate x													
Multiply 4 by				2												
Multiply (5) by				1												
we get																
-2x-2z=	-14									
2x-2z=-3										
Add the two 																
-4z=	-17										
/-4															
z=4.25														
																
Plug the value of z in						5										
2x-8.5=-3										
2x=5.5													
x=2.75														
plug value of x & z in					1											
2.75	+1y+4.25=4									
1y=-2.75+-4.25+	4									
y=-3