In Exercises 33 - 36, write each matrix equation as a system of linear equations without matrices.

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1. Identify the matrix equation: \( \begin{bmatrix} 4 & -7 \\ 2 & -3 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -3 \\ 1 \end{bmatrix} \).
2. Recognize that this represents a system of linear equations.
3. The first row of the matrix equation corresponds to the equation: \( 4x - 7y = -3 \).
4. The second row of the matrix equation corresponds to the equation: \( 2x - 3y = 1 \).
5. Write the system of equations: \( \begin{cases} 4x - 7y = -3 \\ 2x - 3y = 1 \end{cases} \).