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 $z$.