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Solve for x and y , x[{:(2),(1):}]+y[{:(...

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

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To solve for \( x \) and \( y \) in the equation \[ x \begin{pmatrix} 2 \\ 1 \end{pmatrix} + y \begin{pmatrix} 3 \\ 5 \end{pmatrix} + \begin{pmatrix} -8 \\ -11 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix} \] we will follow these steps: ### Step 1: Write the equation in matrix form We can express the equation as: \[ \begin{pmatrix} 2x + 3y - 8 \\ x + 5y - 11 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix} \]
To solve for \( x \) and \( y \) in the equation \[ x \begin{pmatrix} 2 \\ 1 \end{pmatrix} + y \begin{pmatrix} 3 \\ 5 \end{pmatrix} + \begin{pmatrix} -8 \\ -11 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix} \] we will follow these steps: ...
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