Question 418551
Matt's age =x
Mark's age =y

2 years ago Matt's age = x-2
4y= 8(x-2)+4
4y=8x-16+4
4y=8x-12
4y-8x=-12.............1

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3x=2(y-4)+3
3x=2y-8+3
3x-2y=-5...............2

-8x+4y=-12.............1	
3x-2y=-5.............2	
								
multiply (1)by 					1			
Multiply (2) by					2			
-8x+4y=	-12		
6x-4y=-10		
								
Add the two equations								
								
-2x=-22		
								
/-2							
								
x=11 years Matt's age						
								
plug value of x in (1)								
								
-8x+4y=-12		
-88+4y=	-12		
4y=-12+	88
4y=76		
y=19	Mark's age