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Write the matrix equation that corresponds to the system of equations represented by the given matrices.

[2x + 2y = 24, (1/2)x + y = 8]

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Final answer:

The matrix equation corresponding to the system of equations is [2 2] * [x y] = 24 and [1/2 2] * [x y] = 8.

Step-by-step explanation:

To write the matrix equation corresponding to the system of equations represented by the given matrices, we can start by writing each equation in matrix form.

The first equation translates to [2 2] * [x y] = 24, where [2 2] is the coefficient matrix and [x y] is the variable matrix.

The second equation translates to [1/2 2] * [x y] = 8, where [1/2 2] is the coefficient matrix and [x y] is the variable matrix.

Therefore, the matrix equation for the system of equations is:
[2 2] * [x y] = 24
[1/2 2] * [x y] = 8

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