# Nonlinear system of equations examples

Example 7.4. 3: Solving a System of Nonlinear Equations Representing a Circle and an Ellipse Solve the system of nonlinear equations. x 2 + y 2 = 26 ( 1) 3 x 2 + 25 y 2 = 100 ( 2)

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## SYSTEMS OF NONLINEAR EQUATIONS

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## Methods for Solving a System of Nonlinear Equations

Solve a system of nonlinear equations by graphing. Step 1. Identify the graph of each equation. Sketch the possible options for intersection. Step 2. Graph the first equation.

## Systems of Non-Linear Equations

The graph shows the intersection of the oblique hyperbola and the line at points (–1, 2) and (– 2, 1). Example 5: Solve the system of nonlinear equations Observe that the first equation is of a

## Non-linear systems of equations 1

For example each of the following systems is a system of nonlinear equations. {x2 + y2 = 9 x2 − y = 9 {9x2 + y2 = 9 y = 3x − 3 {x + y = 4 y = x2 + 2 Definition 11.6.1 A system of

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