Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.4 - Systems of Nonlinear Equations in Two Variables - Exercise Set - Page 852: 64

Answer

A nonlinear equation is an equation in which one equation cannot be expressed in the form $ Ax+By=C $. The example is $\left\{ \begin{align} & {{x}^{2}}+9{{y}^{2}}=5 \\ & xy=4 \end{align} \right.$.

Work Step by Step

We know that a system of nonlinear equations is a system of equations where one or more terms have a variable of degree of two or higher in one of the equations. Let us consider variables x and y. Then, for example: The following are some systems of nonlinear equations: (i) $\left\{ \begin{align} & {{x}^{2}}-{{y}^{2}}=5 \\ & x+y=7 \end{align} \right.$ (ii) $\left\{ \begin{align} & {{x}^{2}}+9{{y}^{2}}=5 \\ & xy=4 \end{align} \right.$
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