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To solve the given system of equations using Cramer's rule, first write the coefficient matrix A: [ A = \begin{bmatrix} 1 & 1 & -1 \ 3 & -2 & 1 \ 1 & 3 & -2 \end{bmatrix} ] and the constant matrix B: [ B = \begin{bmatrix} 6 \ -5 \ 14 \end{bmatrix} ] The determinant of A, (|A|), is calculated using the formula for a 3×3 determinant: [ |A| = 1((-2)(-2) - (1)(3)) - 1(3(-2) - (1)(1)) _________ ___ _________ ____ ________ ___ __________ ____.
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