Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Matrix Algebra
Cramer's Rule

Formulas

x1 + x2 + x3 = 45
x3 = x1 + 8
x1 + x3 = 2x2
Cramer's rule: x1 = det(A1) / det(A), x2 = det(A2) / det(A), x3 = det(A3) / det(A)

Theorems

Cramer's Rule for solving systems of linear equations

Suitable Grade Level

Grades 10-12