EXPLANATION
Given the system of equations:
(1) 5x + 6y + 8z = 92
(2) 4x + 4y + 6z = 66
(3) 6x - 2y + 9z = 35
As, we know to build a Matrix, we need to substitute similar variables for rows and columns:
[tex]\begin{bmatrix}{5} & {6} & {8\text{ }92} \\ {4} & {4} & {6\text{ 66 }} \\ {6} & {-2} & {9\text{ 35 }}\end{bmatrix}[/tex]Answer is Matrix C).