Solve the linear system LaTeX: \displaystyle \begin{cases} 7 x - 6 y - 3 z = -26 \\ - 9 x - 8 y - z = -96 \\ - 8 x - 8 y + 9 z = -52 \\ \end{cases}

The Solution is LaTeX: \displaystyle (4, 7, 4) .