## Math Problem Statement

x-y+z=-1;x+y+3z=-3;2x-y+2z=0

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Systems of Linear Equations

Elimination Method

Substitution Method

### Formulas

x - y + z = -1

x + y + 3z = -3

2x - y + 2z = 0

Equation addition and subtraction for elimination: (x - y + z) + (x + y + 3z)

Substitution of variables: x + z = 1

### Theorems

Linear Equations Theorem

Consistency of Linear Systems

### Suitable Grade Level

Grades 9-11

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