How would a system in which both matter and energy are exchanged freely between the system and the surroundings be classified?

 Open System

Explanation:   System can be classified into 3 types-

a) Open System - In this kind of system, matter and energy both are exchanged freely with the surroundings.

Example - A tea in a container with the open lid.

b) Closed System - In this kind of system, matter cannot be exchanged but energy can be exchange with the surroundings.

Example - A tea in the container with closed lid.

c) Isolated System - In this, neither energy or matter can be exchanged with the surroundings.

Example - A tea in an insulated thermal flask.

Thus the system in which matter and energy are exhanged freely between the syste and the surroundings is classiifed as Open System.