Question 524087
4a+-2b-	c	=	5	--------------				1
2a+5b-	c	=	-11	--------------				2
a-2b+3c	=6 --------------		3
																
consider equation 1 &2				Eliminate 	b											
Multiply 1 by							5									
Multiply 2 by							2									
we get																
20a	-10	b	+	-5	c	=	25						
4a+	10	b	+	-2	c	=	-22						
Add the two 																
24	a		+	0	b	+	-7	c	=	3	-------------				4	
consider equation 2 & 3		Eliminate 	b											
Multiply 2 by 				2												
Multiply 3 by				5												
we get 																
4	a	+	10	b	+	-2	c	=	-22							
5	a	+	-10	b	+	15	c	=	0							
Add the two 																
9a	+0b+13	c	=	-22	-------------5				5		
Consider (4) & (5)			Eliminate 	a												
Multiply 4 by				9												
Multiply (5) by				-24												
we get				2												
216	a	+	-63	c	=	27										
-216	a	+	-312	c	=	528										
Add the two 																
0	a	+	-375	c	=	555										
/	-375															
c	=	-1.48	=>	-37/25	

Plug the value of 			c	in		(5)	
9	a	+	-19.24		=	-22	
9	a	=	-2.76				
a	=	-0.31	OR	- 23/75			
plug value of x & z in					1		
-1.23	+	-2	b	+	1.48	=	5
-2	b	=	1.23	+	-1.48	+	5
b	=	-2.37	OR	-19/8