Math Problem Statement

Solve the system of equations: 1. x1 + 2x2 + 3x3 = 9 2. 2x1 + 3x2 + 4x3 = 15 3. 3x1 + x2 + x3 = 18

Solution

The image contains a system of three equations with three variables, which we can solve. The equations are:

  1. x1+2x2+3x3=9x_1 + 2x_2 + 3x_3 = 9
  2. 2x1+3x2+4x3=152x_1 + 3x_2 + 4x_3 = 15
  3. 3x1+x2+x3=183x_1 + x_2 + x_3 = 18

To solve for x1x_1, x2x_2, and x3x_3, we can use substitution, elimination, or matrix methods.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Systems of Equations
Algebra

Formulas

Substitution method
Elimination method
Matrix method

Theorems

Cramer's Rule
Gaussian Elimination

Suitable Grade Level

Grades 9-12