Answer
$w=5\\
x=6\\
y,=2\\
z=-2$.
Work Step by Step
When two matrices are equal to each other, then their corresponding elements are equal to each other.
Thus, in the equation
$\begin{bmatrix} 5&x-4 &9\\2 &-3&8\\6&0&5 \end{bmatrix} = \begin{bmatrix}y+3&2 &9 \\z+4& -3&8\\6&0&w \end{bmatrix} $
It can be noticed that the given statement is true when
$w=5;\\
x-4=2 \implies x=2+4=6;\\
y+3=5 \implies y=5-3=2;\\
z+4=2\implies z=2-4=-2$.
So, the values of $w,x,y,z$ are: $5,6,2,-2$, respectively.
