Question 546553
when they married 

Marian's age = x
David's age =y

x+y=44

After 5 years
Marian's age = x+5
David's age = y+5

2(y+5)-3(x+5)=-22
2y+10-3x-15=-22
2y-3x=-17

1	x	+	1	y	=	44	.............1	
-3	x	+	2	y	=	-14	.............2	
Eliminate 	y							
multiply (1)by 		-2						
Multiply (2) by		1						
-2	x		-2	y	=	-88		
-3	x	+	2	y	=	-14		
Add the two equations								
-5	x				=	-102.000		
/	-5							
x	=	20  2/ 5  Marian's age						
plug value of 			x	in (1)				
1	x	+	1	y	=	44		
20.4		+	1	y	=	44		
			1	y	=	44		-20.4
			1	y	=	23.6		
				y	=	23  3/ 5 David's age