Find X and Y, if `X+Y=[[5, 2],[ 0, 9]]`and `X-Y=[[3, 6],[ 0,-1]]`.

Explanation

To solve for matrices \( X \) and \( Y \) given the equations \( X + Y = \begin{bmatrix} 5 & 2 \\ 0 & 9 \end{bmatrix} \) and \( X - Y = \begin{bmatrix} 3 & 6 \\ 0 & -1 \end{bmatrix} \), we can follow these steps:

### Step 1: Define the matrices
Let:
\[ X = \begin{bmatrix} a & b \\ c & d \end{bmatrix}, \quad Y = \begin{bmatrix} e & f \\ g & h \end{bmatrix} \]

...