What do you call two or more equations with the same variables solved together?

The term used for two or more equations that are solved together with the same variables is "Simultaneous Equations." These equations are typically set up to find values for the variables that satisfy all of the equations at the same time. Solving simultaneous equations allows you to determine a unique solution for the variables involved, provided the equations are independent and consistent.

In contrast, linear equations refer specifically to equations of the first degree that can represent a straight line when graphed, but they do not inherently imply that multiple equations are being considered together. Quadratic equations are those of the second degree, often expressed in the form of ( ax^2 + bx + c = 0 ), which also do not necessarily involve a simultaneous resolution with another equation. Polynomial equations extend this concept further by involving higher-degree terms and do not inherently relate to the process of solving multiple equations together.

Therefore, identifying multiple equations as "Simultaneous Equations" is crucial as it denotes the process of solving for common solutions across different relationships among the same variables.