It appears that you have uploaded two images containing mathematical content. I will examine the images to identify the equations and problems provided, and then I'll solve them. Let me start by analyzing the content.Upon analyzing the images, it seems you have a system of linear equations represented by a matrix, and the problem involves solving for the vector $\vec{x}$ using matrix methods.

The first matrix representation is:

2 & -3 & -5 \\ 1 & 2 & 1 \\ 3 & 1 & 2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 7 \\ 4 \\ 5 \end{bmatrix}$$ The equation represented here is $$\mathbf{A}\vec{x} = \vec{b}$$, where $$\mathbf{A}$$ is the coefficient matrix, $$\vec{x}$$ is the column vector of unknowns, and $$\vec{b}$$ is the result vector. I'll solve this system using the matrix inversion method. Given: $$\mathbf{A} = \begin{bmatrix} 2 & -3 & -5 \\ 1 & 2 & 1 \\ 3 & 1 & 2 \end{bmatrix}, \quad \vec{b} = \begin{bmatrix} 7 \\ 4 \\ 5 \end{bmatrix}$$ The solution to $$\vec{x}$$ can be found by calculating: $$\vec{x} = \mathbf{A}^{-1} \cdot \vec{b}$$ Let's proceed to solve this step by step.