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Section 7.2 : Linear Systems with Three Variables

Find the solution to each of the following systems of equations.

1. \(\begin{align*} - 3x + 7y + 2z & = - 8\\ - 2x + 5y - z & = - 10\\ 8x - 2y + 3z &= 38\end{align*}\)
2. \(\begin{align*}6x + 4y - 8z &= - 56\\ - x - 4y + z & = 5\\ 3x + y + 9z &= 10\end{align*}\)
3. \(\begin{align*}2x + 6y - z & = 1\\ - x + 2y + 9z & = - 19\\ 4x + 3y - 7z &= 25\end{align*}\)