Question

Three hamburgers and two hotdogs cost $13. Two hamburgers and four hotdogs cost $14 what is the cost of one hamburger? What is the cost of one hotdog?

Answer 1

3b + 2h = 13
2b + 4h = 14

Elimination Method:

2(3b + 2h = 13)
-3(2b + 4h =14)

6b+4h=26
-6b-12h=-42

-8h = -16

H = 2

Substitute:

2b + 8 = 14

2b = 6

B = 3

One burger is $3
One hotdog is $2