Find the values of x, y and z from the following equations:(i) `[[4, 3],[x,5]]=[[y, z],[1, 5]]` (ii) `[[x+y,3],[ 5+z, x y]]=[[6, 2],[ 5 ,8]]` (iii) `[[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]`

Explanation

To solve the given equations for \( x \), \( y \), and \( z \), we will analyze each equation step by step.

### Given Equations:
1. \( \begin{bmatrix} 4 & 3 \\ x & 5 \end{bmatrix} = \begin{bmatrix} y & z \\ 1 & 5 \end{bmatrix} \)
2. \( \begin{bmatrix} x+y & 3 \\ 5+z & xy \end{bmatrix} = \begin{bmatrix} 6 & 2 \\ 5 & 8 \end{bmatrix} \)
3. \( \begin{bmatrix} x+y+z \\ x+z \\ y+z \end{bmatrix} = \begin{bmatrix} 9 \\ 5 \\ 7 \end{bmatrix} \)

### Step 1: Solve the first equation
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