Education is not an economic system, as you found out by reading Writeacher's suggested reading. You're right.
Wait! Are Hayden and Mya one and the same person? If not, Mya should not be giving the answers. Let Hayden learn it for him/herself.
It is socialism
The economic system you are referring to, where the government controls business instead of the people, is called socialism. To confirm this, you can consider the defining characteristics of socialism. In a socialist system, the means of production, such as factories, land, and resources, are commonly owned and controlled by the government or the community as a whole. The goal of socialism is to achieve economic equality and provide public goods and services for everyone. Education, on the other hand, is a sector that can be influenced by government control in various economic systems, but it does not define an economic system itself. By focusing on the control of business and the means of production, socialism is the correct answer in this case.