System of Equations
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:[latex]\left\{\begin{matrix} y=2x\\ y=4x^2-1 \end{matrix}\right.[/latex]
The solutions to this system are the ordered pairs of coordinates ([latex]\frac{(1+\sqrt{5})}{4}[/latex], [latex]\frac{(1+\sqrt{5})}{2}[/latex]) and ([latex]\frac{(1-\sqrt{5})}{4}[/latex], [latex]\frac{(1-\sqrt{5})}{2}[/latex]).