Question 777867
Twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71. What are the numbers?


let x >y

2x=5y+3
2x-5y=3.................(1)


4x+3y=71................(2)

2	x		-5	y	=	3	.............1	
								
4	x	+	3	y	=	71	.............2	
Eliminate	y							
multiply (1)by		3						
Multiply (2) by		5						
6	x		-15	y	=	9		
20	x	+	15	y	=	355		
Add the two equations								
26	x				=	364		
/	26							
x	=	14						
plug value of			x	in (1)				
2	x		-5	y	=	3		
28			-5	y	=	3		
			-5	y	=	3		-28
			-5	y	=	-25		
				y	=	5		
14 &5