Question

At a concession stand five hotd and two hamburgers cost $12.00; two hotdogs and five hamburgers cost 14.25. Find the cost of one hotdog and one hamburger

Answer 1

5d + 2h = 12.......multiply by -2
2d + 5h = 14.25...multiply by 5
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-10d - 4h = -24 (result of multiplying by -2)
10d + 25h = 71.25 (result of multiplying by 5)
---------------------add
21h = 47.25
h = 47.25 / 21
h = 2.25 <=== each hamburger costs $ 2.25

5d + 2h = 12
5d + 2(2.25) = 12
5d + 4.50 = 12
5d = 12 - 4.50
5d = 7.50
d = 7.50/5
d = 1.50 <== each hot dog costs $ 1.50