Question

A burger joint is trying to decide how much to charge for burgers and fries. They about like to get $10 for 5 burgers and 3 fries. They would also like to get $20 for 10 burgers and 6 fries. If we put this information into a system of linear equations, can we find a unique price for a burger and fries?

Answer 1

No. There is no unique solution.

The equations are dependent. Any set of prices that satisfies the first equation will also satisfy the second.