Texts: Use Cramer's rule and the calculator provided to find the value of x that satisfies the system of linear equations: 3x - 5y - 5z = -4 -4x + y + 3 = -2 y + z - 3 = 0 Note that the ALEKS graphing calculator can be used to make computations easier. The determinant of the coefficient matrix is D = 600.
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The given system of equations can be written in matrix form as: \[ \begin{bmatrix} 3 & -5 & -5 \\ -4 & 1 & 0 \\ 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = \begin{bmatrix} -4 \\ -2 \\ 3 \\ \end{bmatrix} \] Show more…
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Madhur L.
Use Cramer's rule and the calculator provided to find the value of x that satisfies the system of linear equations: x - 5y = -4 3x + 2y - 3z = 3 3x + 4y - 3z = -5 The determinant of the coefficient matrix is
Use Cramers rule to solve those systems for which $D \neq 0 .$ In cases where $D=0,$ use Gaussian elimination or matrix methods. $$\left\{\begin{aligned} 3 x+4 y-z &=5 \\ x-3 y+2 z &=2 \\ 5 x-6 z &=-7 \end{aligned}\right.$$
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