Solve for x and y , `x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0`.

Explanation

To solve the equation \( x\begin{pmatrix} 2 \\ 1 \end{pmatrix} + y\begin{pmatrix} 3 \\ 5 \end{pmatrix} + \begin{pmatrix} -8 \\ -11 \end{pmatrix} = 0 \), we will follow these steps:

### Step 1: Write the equation in matrix form
We start with the given equation:
\[ x\begin{pmatrix} 2 \\ 1 \end{pmatrix} + y\begin{pmatrix} 3 \\ 5 \end{pmatrix} + \begin{pmatrix} -8 \\ -11 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix} \]

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