Find x from Matrix Equation

Find x

Given:

\[ \begin{bmatrix} x & 2 \end{bmatrix} \begin{bmatrix} 3 \\ 4 \end{bmatrix} = 2 \]

Step 1: Perform Matrix Multiplication

\[ x \cdot 3 + 2 \cdot 4 = 2 \]

\[ 3x + 8 = 2 \]

Step 2: Solve for x

\[ 3x = 2 – 8 = -6 \]

\[ x = -2 \]

Final Answer:

\[ x = -2 \]

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