SOLUTION: I just need help setting this up, I can solve it after that. At a Conseesion stand, five hotdog(s) and two hamburger(s) cost $9.75; two hotdog(s) and five hamburger(s) cost $11.25

Question 428527: I just need help setting this up, I can solve it after that.
At a Conseesion stand, five hotdog(s) and two hamburger(s) cost $9.75; two hotdog(s) and five hamburger(s) cost $11.25, Find the cost of one hotdog and one hamburger.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
5x+2y=9.75 .............1
2x+5y=11.25 .............2

multiply (1)by -5
Multiply (2) by 2
-25x-10y =-48.75
4x+10y=22.5
Add the two equations
-21x=-26.25
/-21
x=1.25 hotdog cost

plug value of x in (1)
5x+2y=9.75
6.25+2y= 9.75
2y=9.75 -6.25
2y=3.5
y=1.75 hamburger cost

RELATED QUESTIONS
Find the interest on $2500 invested for 5 years at 10% compounded quarterly. I know... (answered by rfer)

I would really appreciate it if I could get some help on this question, thanks. The... (answered by Earlsdon)

I would really appreciate it if I could get some help on this question, thanks. The... (answered by scott8148)

At a concession stand, five hotdogs and two hamburgers cost $10.25; two hotdogs and five... (answered by MathLover1,rothauserc)

at a concession stand three hot dogs and two hamburgers cost 7.00; two hot dogs and three (answered by stanbon)

I have only figured out the first equation of this problem I am having trouble setting up (answered by lwsshak3,macston,addingup)

a hotdog stand can purchase hot dogs for $0.35 each and buns for $0.20 each. It has... (answered by josmiceli)

at a concession stand, five hot dogs and two hamburgers cost $8.50, two hot dogs and... (answered by Cromlix)

Can you help me set this problem up? The problem reads: If the rental on a car is a fixed (answered by nerdybill)