To solve the system of equations:
3x + 6y = 48
6x + 2y = 60
We can use the method of elimination by multiplying the first equation by 2 and the second equation by -3 to eliminate y:
6x + 12y = 96
-18x - 6y = -180
Adding the equations together gives:
-12x = -84
Solving for x:
x = 7
Substituting x = 7 in the first equation:
3(7) + 6y = 48
Simplifying:
21 + 6y = 48
Subtracting 21 from both sides:
6y = 27
Dividing by 6:
y = 4.5
Therefore, a burger meal costs $7 and a hot dog meal costs $4.50.