Question 564073
5x-15y+	z=22			--------------	1		
-10x+12y-2z=-8			--------------	2		
4x-2y-3z=9			--------------	3		
															
consider equation 1 &2				Eliminate y											
Multiply 1 by							4								
Multiply 2 by							5								
we get															
20x-60y	+4z	=	88					
-50x	+	60y-10z	=	-40					
Add the two 															
-30x-6z	=	48	-------------4
consider equation 2 & 3		Eliminate y											
Multiply 2 by 				1											
Multiply 3 by				6											
we get 															
-10x+12y-2z	=	-8						
24x-12y	-18z	=	0						
Add the two 															
14x	-20z	=	-8	-------------5				5	
Consider (4) & (5)			Eliminate x												
Multiply 4 by				14											
Multiply (5) by				30											
we get															
-420x	-84z	=	672									
420x-600z=-240									
Add the two 															
-684z	=	432									
/	-684														
z	=	-0.63	OR	- 12/19											
															
Plug the value of z in						5									
14x	+	12.63		=	-8									
14x	=	-20.63												
x	=	-1.47	OR	-1  9/19											
plug value of x & z in					1										
-7.37	+	-15y	+	-0.63	=	22								
-15y	=	7.37	+	0.63	+	22								
	y=	-2	OR	-2    											
															
CHECK	Equation 1														
5	-1.47	-15	-2	1	-0.63										
	-7.37		30		-0.63			22