System of Equations

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.


Consider the following system of equations:

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

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

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