A finite set of equations that can be verified simultaneously.

A system of equations in two variables can be represented in a Cartesian plane using the graph of each equation. The points of intersection of these graphs are the solutions to the system.

### Example

Consider the following system of equations:

\(\left\{\begin{matrix}

y=2x\\ y=4x^2-1

\end{matrix}\right.\)

The solutions to this system are the ordered pairs of coordinates (\(\frac{(1+\sqrt{5})}{4}\), \(\frac{(1+\sqrt{5})}{2}\))

and (\(\frac{(1-\sqrt{5})}{4}\), \(\frac{(1-\sqrt{5})}{2}\)).