# What is the difference between a system of linear equations and a system of nonlinear equations?

Question
Equations
What is the difference between a system of linear equations and a system of nonlinear equations?

2021-03-08
System of linear equations is a collection of equations in which each equation in the system represents a straight ilne, that is the equations of degree 1( linear).
On the other hand, a nonlinear system of equations is a collection of equations that may contain some equations of a line, but not all of them.
For example,
$$\displaystyle{\left\lbrace\begin{array}{c} {x}+{y}={5}\\{3}{x}+{4}{y}={2}\end{array}\right.}\rightarrow$$ system of linear equations.
$$\displaystyle{\left\lbrace\begin{array}{c} {x}+{y}={1}\\{y}+{x}^{{2}}-{5}\end{array}\right.}\rightarrow$$ system of non - linear equations.

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