At a concession stand, three hot dogs and four hamburgers cost $12.00; four hot dogs and three hamburgers cost $10.75. Find the cost of one hot dog and the cost of one hamburger.

Answer 1

3D+4H=12.00
4D+3H=10.75

D= (3*12-4*10.75)/(det)
H=(3*10.75 -48)/det

where determinate det=9-16