Please help:

The president will order 5 turkey sandwich combos and 7 steak lunches and spends $124.00. The other president will get 10 turkey combos and 5 steak combos for $140.00. How much is a turkey sandwich combo? Write a system of equation.

5x + 7y = $124.00
10x + 5y= $140.00
???

After a proper definition of your variables, your system is correct

to solve, how about multiplying the first by 2, and then subtracting them ?
I am sure you can take over from here