**9 Systems of Equations and Inequalities**

**Chapter Contents**

**9.1** Systems of Linear Equations

**9.2** Determinants and Cramer’s Rule

**9.3** Systems of Nonlinear Equations

9.1 Systems of Linear Equations

**INTRODUCTION** Recall from Section 2.3 that a **linear equation in two variables** *x* and *y* is any equation that can be put in the form *ax* + *by* = *c*, where *a* and *b* are real numbers and not both zero. In general, a **linear equation in n variables**

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