## Math Problem Statement

x + y − 3z = −2 x − 2y + 6z = 10 −2x + y − 3z = −8

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Linear Equations

Systems of Equations

### Formulas

Elimination method: Substituting one equation into another to eliminate a variable

General form of a linear equation: ax + by + cz = d

### Theorems

Dependent system of equations theorem: Infinite solutions occur when two or more equations in the system are multiples of each other

### Suitable Grade Level

Grades 9-12

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