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In mathematics, a system of equations, also known as a set of simultaneous equations or an equation system, is a finite set of equations for which common solutions are sought.^[1] An equation system is usually classified in the same manner as single equations, namely as one of the following:

• System of linear equations
• System of nonlinear equations
• System of bilinear equations
• System of polynomial equations
• System of differential equations
• System of difference equations

• Simultaneous equations model, a statistical model in the form of simultaneous linear equations
• Elementary algebra, for elementary methods