Find x

Given:

\[ x\begin{bmatrix} 2 \\ 3 \end{bmatrix} + y\begin{bmatrix} -1 \\ 1 \end{bmatrix} = \begin{bmatrix} 10 \\ 5 \end{bmatrix} \]

Step 1: Form Equations

\[ 2x – y = 10 \]

\[ 3x + y = 5 \]

Step 2: Add Equations

\[ (2x – y) + (3x + y) = 10 + 5 \]

\[ 5x = 15 \Rightarrow x = 3 \]

Final Answer:

\[ \boxed{x = 3} \]