Question 715238
 {{{((x+2)/2 )- ((y+4)/3)=3}}}

LCD = 6

multiply equation by 6

 {{{(3(x+2)/2 )- (6(y+4)/3)=6*3}}}

3(x+2)-6(y+4) = 18

3x+6-6y-24=18

3x-6y = 36
/3
x-2y=12.......................(1)

.
 {{{((x+y)/5)=((x - y)/2) - 5/2}}}

LCD = 10
multiply eauation by 10

we get
2(x+y)= 5(x-y)-25

2x+2y=5x-5y-25
7y-3x=-25.......................(2)

Solve equation (1) & (2)


1	x		-2	y	=	12	.............1	
Total value								
-3	x	+	7	y	=	-25	.............2	
Eliminate	y							
multiply (1)by		7						
Multiply (2) by		2						
7	x		-14	y	=	84		
-6	x	+	14	y	=	-50		
Add the two equations								
1	x				=	34		
/	1							
x	=	34      						
plug value of			x	in (1)				
1	x		-2	y	=	12		
34			-2	y	=	12		
			-2	y	=	12		-34
			-2	y	=	-22		
				y	=	11      		
x=	34      							
y=	11  
(34,11) is the solution    							
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