Math Problem Statement

Solve the system of linear equations: 1. 3x + 5y - 4z = 0 2. 2x - 3y + z = 5000 3. -x + 4y + 6z = 13000

Solution

It looks like you have uploaded a system of linear equations. Let me rewrite them for clarity:

  1. 3x+5y4z=03x + 5y - 4z = 0
  2. 2x3y+z=50002x - 3y + z = 5000
  3. x+4y+6z=13000-x + 4y + 6z = 13000

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
System of Linear Equations

Formulas

Substitution method
Elimination method
Matrix method (for solving systems of equations)

Theorems

Cramer's Rule
Gaussian Elimination

Suitable Grade Level

Grades 9-12