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

Explanation

To find the 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: Add the two equations
We start by adding the two equations:
\[ (X + Y) + (X - Y) = \begin{bmatrix} 5 & 2 \\ 0 & 9 \end{bmatrix} + \begin{bmatrix} 3 & 6 \\ 0 & -1 \end{bmatrix} \]
This simplifies to:
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