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To solve the system of equations using Cramer's rule, we first write the system in matrix form: \[ \begin{cases} x + 3y + 2z = 6 \\ - x + 4y + 5z = 8 \\ 2x + 5y + 3z = 10 \end{cases} \] This can be written as \( AX = B \) where: \[ A = \begin{pmatrix} 1 & 3 & 2 \\ -1 & 4 & 5 \\ 2 & 5 & 3 \end{pmatrix}, \quad X = \begin{pmatrix} x \\ _____ ___ _____ _____ __________ _______ _________ _________ ________ ________ _________ ___.
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