Question 1159017

next year LPA goes to washington dc,

let there be x buses and y cars

x+y =7  ( Total vehicles)


 there will be 195 students going on the trip,. a car can hold 5 students and a bus can hold 45 students. 
45x +5y=195 


1.00	x	+	1.00	y	=	7.00		
								
								
45.00	x	+	5.00	y	=	195.00	.............2	
Eliminate 	y							
multiply (1)by		-5.00						
Multiply (2) by		1.00						
-5.00	x		-5.00	y	=	-35.00		
45.00	x		5.00	y	=	195.00		
Add the two equations								
40.00	x				=	160.00		
/	40.00							
x	=	4.00						
plug value of			x	in (1)				
1.00	x	+	1.00	y	=	7.00		
4.00		+	1.00	y	=	7.00		
			1.00	y	=	3.00		
				y	=	3.00		
Ans	x	=	4 (buses)					
	y	=	3  (cars)