What term describes a group of two or more equations related to the same situation and sharing variables?

• A. Simultaneous Equations
• B. System of equations
• C. Equational Set
• D. Joint Equations

Answer: (B)

A set of two or more equations that involve the same variables describes a single situation and must be solved together. This collection is called a system of equations. The idea is that the values of the variables must satisfy every equation at once, so you look for the pair (or tuple) that makes every statement true simultaneously. For example, if you have y = 2x + 3 and x + y = 9, you’re solving a system to find the x and y that work in both equations at the same time.

The term simultaneous equations is often used to describe solving the equations together, but the standard name for the group itself is a system of equations. Other phrases like equational set or joint equations aren’t standard terminology.