If `x[[2] ,[3]]+y[[-1] ,[1]]=[[10] ,[5]]`, find the values of x and y.

Explanation

To solve the equation \( x \begin{pmatrix} 2 \\ 3 \end{pmatrix} + y \begin{pmatrix} -1 \\ 1 \end{pmatrix} = \begin{pmatrix} 10 \\ 5 \end{pmatrix} \), we will follow these steps:

### Step 1: Scalar Multiplication of Matrices
First, we perform the scalar multiplication of the matrices.

\[ x \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 2x \\ 3x \end{pmatrix} \]
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