The Woodson and Baker families went to the Burger Shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals for $48. The Bakers bought 6 burger meals and 2 hot dog meals for $60. How much does each meal cost? Show your work. ​If x represents the cost of burger meals, then y represents Response area. The system of linear equations would look like Response area. How much does a burger meal cost? Response area How much does a hot dog meal cost?

what are the correct options?

The system of equations would be:

3x + 4y = 48
6x + 2y = 60

Solving this system of equations, we get:
3x + 4y = 48
6x + 2y = 60

Multiplying the first equation by 2 and the second equation by -1, we get:
6x + 8y = 96
-6x - 2y = -60

Adding the two equations together, we get:
6y = 36
y = 6

Substitute y = 6 into the first equation:
3x + 4(6) = 48
3x + 24 = 48
3x = 24
x = 8

Therefore, a burger meal costs $8 and a hot dog meal costs $6.

what does the system of the linear equation look like?

The system of linear equations looks like this:

3x + 4y = 48
6x + 2y = 60