## Tutoring on Solving Systems of Non-Linear Equations

Learning Objectives:

#### Understand to Solve Systems of Non-linear Equations.

Math Tutoring on Solving Systems of Nonlinear Equations

In this section, we are going to be looking at nonlinear systems of equations.  A nonlinear system of equations is a system in which at least one of the variables has an exponent other than 1 and /or there is a product of variables in one of the equations or in other words a nonlinear system is a collection of equations that may contain some equations of line, but not all of them. To solve these systems we will use either the substitution method or elimination method that we first looked at when we solved systems of linear equations.  The main difference is that we may end up getting complex solutions in addition to real solutions.  Just as we saw in solving systems of two equations the real solutions will represent the coordinates of the points where the graphs of the two functions intersect. Since nonlinear equations are difficult to solve, so nonlinear systems are commonly approximated by linear equations and the method is known as linearization.

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Hook Questions:

1.    What is a nonlinear system?

2.    What is a nonlinear equation?

3.    What is an example of a nonlinear equation?

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