Solve the system using Cramer's Rule. $5x - 4y + 2z = -51$ $4x + y - 6z = 14$ $-5x - 2y + 3z = 2$ Find the determinant $D$ (denominator). $D = $ Find the determinant $D_x$ associated with $x$. $D_x = $ Find the determinant $D_y$ associated with $y$. $D_y = $ Find the determinant $D_z$ associated with $z$. $D_z = $ The solution is $(x, y, z) = ($
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The system is: $5x - 4y + 2z = -51$ $4x + y - 6z = 14$ $-5x - 2y + 3z = 2$ The coefficient matrix $A$ is: $A = \begin{pmatrix} 5 & -4 & 2 \\ 4 & 1 & -6 \\ -5 & -2 & 3 \end{pmatrix}$ The variable matrix $X$ is: $X = \begin{pmatrix} x \\ y \\ z \end{pmatrix}$ The Show more…
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