Question 519421
Roses = x
greeting card = 2x

chocolate =y

$51.30 
2 boxes of chocolates ---------y each
6 roses,----------------------- x each
3 greeting cards.--------------2x

2y+6x+6x=51.30
2y+12x=51.30....................1

 Joe paid $72.05
for 3 boxes of chocolates,------------y each
12 roses,-----------------------------x
2 greeting cards----------------------2x
3y+12x+4x=72.05
3y+16x=72.05....................2

12	x	+	2	y	=	51.3	.............1	
16	x	+	3	y	=	72.05	.............2	
Eliminate y								
multiply (1)by 		-3						
Multiply (2) by		2						
-36	x		-6	y	=	-153.9		
32	x		6	y	=	144.1		
Add the two equations								
-4	x				=	-9.8		
/	-4							
x	=	2.45			
plug value of 			x	in (1)				
12	x	+	2	y	=	51.3		
29.4		+	2	y	=	51.3		
			2	y	=	51.3		-29.4
			2	y	=	21.9		
				y	=	10.95
chocolates box = $10.95


m.ananth@hotmail.ca