How to tell if a system of equations has no solution or infinitely many?

What is the distance from zero if a quadratic function has a line of symmetry at x=-3 and a zero at 4

Solve for x and select the correct answer

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.