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give an example of an equation that could be used to solve a system of linear equations
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an example of an equation that could be used to solve a system of linear equations is cramer's rule, which can be written as x_i= det(a_i)/det(a), where a is the coefficient matrix of the system, a_i is a matrix obtained by replacing the ith column of a with the vector of the solution, and det(a) is the determinant of a.
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