{{ tocSubheader }}
 {{ 'mllessonnumberslides'  message : article.intro.bblockCount}} 
 {{ 'mllessonnumberexercises'  message : article.intro.exerciseCount}} 
 {{ 'mllessontimeestimation'  message }} 
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 $

LinearQuadratic System  Includes one linear equation and one quadratic equation.  ${y=3x+1x_{2}+y_{2}=25 $

Quadratic System  Consists solely of quadratic equations.  ${x_{2}+y_{2}=16y=x_{2}−4 $

Nonlinear System  Contains at least one nonlinear equation.  ${sinx+y=1x_{2}+y_{2}=4 $

Keep in mind that linearquadratic systems and quadratic systems are also nonlinear systems.