Find x

Given:

\[ \begin{bmatrix} 2x – y & 5 \\ 3 & y \end{bmatrix} = \begin{bmatrix} 6 & 5 \\ 3 & -2 \end{bmatrix} \]

Step 1: Compare Corresponding Elements

\[ y = -2 \]

\[ 2x – y = 6 \]

Step 2: Substitute y

\[ 2x – (-2) = 6 \Rightarrow 2x + 2 = 6 \]

\[ 2x = 4 \Rightarrow x = 2 \]

Final Answer:

\[ x = 2 \]