Solve for x, y, and z in the matrix equation $4\begin{bmatrix} x & y \ z & -1 \end{bmatrix} = \begin{bmatrix} y & z \ -x & 1 \end{bmatrix} + 2\begin{bmatrix} 4 & x \ 5 & -x \end{bmatrix}$.
STEP 1: Simplify the right side of the equation.
$4\begin{bmatrix} x & y \ z & -1 \end{bmatrix} =$
STEP 2: Set corresponding entries equal to each other to obtain four equations.
4x =
4y =
4z =
-4 =
STEP 3: Solve for x, y, and z.
(x, y, z) = ( , , )
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