# Introduction to Systems of Nonlinear Equations and Inequalities: Two Variables

### Learning Objectives

By the end of this section, you will be able to:- Solve a system of nonlinear equations using substitution.
- Solve a system of nonlinear equations using elimination.
- Graph a nonlinear inequality.
- Graph a system of nonlinear inequalities.

**Figure 1.**Halley’s Comet (credit: "NASA Blueshift"/Flickr)

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- Precalculus.
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