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The image shows a system of linear equations in three variables:

1. \( 2x - 5y + 3z = -10 \)
2. \( 3x + 4y + 7z = -11 \)
3. \( 5x + 3y + 7z = -8 \)

To solve this system of equations, we can use methods such as substitution, elimination, or matrix methods like Gaussian elimination or Cramer's rule. I'll proceed with solving this system using the elimination method for clarity.

Let me calculate the solution for \(x\), \(y\), and \(z\).

Solve the system of linear equations: 1) 2x - 5y + 3z = -10, 2) 3x + 4y + 7z = -11, 3) 5x + 3y + 7z = -8

Learn how to solve the system of linear equations: 2x - 5y + 3z = -10, 3x + 4y + 7z = -11, 5x + 3y + 7z = -8. This problem covers key algebraic concepts, including the substitution method, elimination method, and Cramer's Rule, suitable for students in Grades 9-12.

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