Solve the linear system LaTeX: \displaystyle \begin{cases} - 7 x + 3 y - 2 z = 75 \\ 8 x - 6 y + z = -87 \\ - 6 x + 5 y - 8 z = 118 \\ \end{cases}

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