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Write a matrix equation equivalent to the following system. {4 x-3 y=10 {3 x-2 y=30

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Final answer:

To write a matrix equation equivalent to the given system, represent the matrices A, X, and B. The matrix equation is [4 -3][x y] = [10 30].

Step-by-step explanation:

To write a matrix equation equivalent to the given system of equations, we can represent the coefficients and constants in matrix form. Let A be the coefficient matrix, X be the variable matrix, and B be the constant matrix. The given system of equations can be written as:

AX = B

Using the coefficients from the given equations, the matrix equation is:

[4 -3][x y] = [10 30]

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