If `[(x y,4),(z+6,x+y)]=[(8,w),(0, 6)]` , write the value of `(x+y+z)` .

Explanation

To solve the matrix equation \(\begin{pmatrix} x & y \\ 4 & z + 6 \\ x + y & 0 \end{pmatrix} = \begin{pmatrix} 8 & w \\ 0 & 6 \end{pmatrix}\), we will equate the corresponding elements of the matrices and solve for the variables \(x\), \(y\), \(z\), and \(w\).

### Step-by-step Solution:

1. **Set Up the Equations:**
From the given matrices, we can equate the corresponding elements:
- \(x = 8\) (from the first row, first column)
- \(y = w\) (from the first row, second column)
...