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