Question 1002469
3	x	+	2	y	+	-8	z	=	29			--------------				1
9	x	+	-1	y		2	z	=	23			--------------				2
-1	x	+	-2	y	+		8	z	-11			--------------				3
																
consider equation 1 &2				Eliminate	y											
Multiply 1 by		1					-5									
Multiply 2 by		2					4									
we get																
3	x		+	2	y	+	-8	z	=	29						
18	x		+	-2	y	+	4	z	=	46						
Add the two																
21	x		+	0	y	+	-4	z	=	75	-------------				4	
consider equation 2 & 3				Eliminate	y											
Multiply 2 by				-2												
Multiply 3 by				1												
we get																
-18	x	+	2	y	+	-4	z	=	-46							
-1	x	+	-2	y	+	8	z	=	-11							
Add the two																
-19	x	+	0	y	+	4	z	=	-57	-------------5				5		
Consider (4) & (5)			Eliminate	x												
Multiply 4 by				19												
Multiply (5) by				21												
we get																
399	x	+	-76	z	=	1425										
-399	x	+	84	z	=	-1197										
Add the two																
0	x	+	8	z	=	228										
/	8															
z	=	28.50														
																
																
																
																
																
Plug the value of			z	in		(5)										
-19	x	+	4	z	=	-57										
-19	x	=	-171													
x	=	9														
plug value of x & z in					1											
27	+	2	y	+	-228	=	29									
2	y	=	29	+	-27	+	228									
y	=	115														
																
x=	9.00	,y=	115.00	,z=	28.50