Question 802909
I will solve a simple problem by both methods. See if you can walk through

Elimination method

2    	x	+	1    	y	=	20    	.............1	
								
3    	x		-4    	y	=	8    	.............2	
Eliminate	y							
multiply (1)by		4    						
Multiply (2) by		1    						
8    	x		4    	y	=	80    		
3    	x		-4    	y	=	8    		
Add the two equations								
11    	x				=	88    		
/	11    							
x	=	8    						
plug value of			x	in (1)				
2    	x	+	1    	y	=	20    		
16    		+		y	=	20    		
				y	=	20    		-16    
				y	=	4    		
				y	=	4    	

Substitution Method


2    	x	+	1    	y	=	20    	.............1				
1    	y	=	20    	+	-2	x					
/	1    	=									
	y	=	20		-2	x					
3	x		-4	y	=	8    		.....................2			
Substitute y in		(2)									
3	x		-4	(	20	+	-2	x	)	=	8    
3	x		-80	+	8	x	=	8    			
3	x		8	x	=	88					
11	x	=	88								
/	11										
x=	8      										
Plug the value of x in (1)											
2    	x	+	1    	y	=	20    					
2    	*	8      	+	1    	y	=	20    				
16      	+	1    	y	=	20    						
1    	y	=	4      								
/	1    										
y=	4      										
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