Find x from Matrix Equation

Find x

Given:

\[ \begin{bmatrix} 2x + y & 3y \\ 0 & 4 \end{bmatrix} = \begin{bmatrix} 6 & 0 \\ 6 & 4 \end{bmatrix} \]

Step 1: Compare Corresponding Elements

\[ 3y = 0 \Rightarrow y = 0 \]

\[ 2x + y = 6 \]

Step 2: Substitute y

\[ 2x + 0 = 6 \Rightarrow 2x = 6 \]

\[ x = 3 \]

Final Answer:

\[ x = 3 \]

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