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Systems of equations can be classified based on their algebraic characteristics, especially the types of equations involved. The following are some of the most common types.
Type of System | Description | Example |
---|---|---|
Linear System | Includes only linear equations. | {x+2y=82x−3y=1
|
Linear-Quadratic System | Includes one linear equation and one quadratic equation. | {y=3x+1x2+y2=25
|
Quadratic System | Consists solely of quadratic equations. | {x2+y2=16y=x2−4
|
Nonlinear System | Contains at least one nonlinear equation. | {sinx+y=1x2+y2=4
|
Keep in mind that linear-quadratic systems and quadratic systems are also nonlinear systems.