Question 457415
12%------------x
13%------------y
14%------------z


x+y+z=2000--------------1
12x+13y+14z=268*100--------------2
x+y-z=0	--------------3
																
consider equation 1 &2	Eliminate y												
Multiply 1 by	-13									
Multiply 2 by	1									
we get																
-13x -13y-13z=	-26000						
12x+13y+14z=26800						
Add the two 																
-x+z=	800	-------------4	
consider equation 2 & 3				Eliminate y		
-1x=800						
Multiply 2 by	x=-800							
Multiply 3 by-13	
we get 																
12x+13y+14z=26800							
-13x-13y+13z=0							
Add the two 																
-1x+27z=26800	-------------5				5		
Consider (4) & (5)			Eliminate x													
Multiply 4 by				-1												
Multiply (5) by				1												
we get																
x-z=-800										
-x+27z=	26800										
Add the two 																
26z=26000										
/26															
z=1000----14%								
Plug the value of z in						5										
-x+27000=26800										
-x=-200													
x=200----12%													
plug value of x & z in					1											
200+y+1000=2000									
y=-200+	-1000+	2000									
y=800----13%