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Use Cramer's Rule to Solve the Following System of Linear {4x     −8z=2−4y+12z=38x   +20z=0\left\{ \begin{array} { r } 4 x~~~~~ - 8 z = 2 \\- 4 y + 12 z = 3 \\8 x~~~ + 20 z = 0\end{array} \right.

Question 23

Multiple Choice

Use Cramer's Rule to solve the following system of linear equations: {4x     −8z=2−4y+12z=38x   +20z=0\left\{ \begin{array} { r } 4 x~~~~~ - 8 z = 2 \\- 4 y + 12 z = 3 \\8 x~~~ + 20 z = 0\end{array} \right.


A) x=12;y=−54;z=−12x = \frac { 1 } { 2 } ; y = - \frac { 5 } { 4 } ; z = - \frac { 1 } { 2 }

B) x=518;y=−1312;z=−19x = \frac { 5 } { 18 } ; y = - \frac { 13 } { 12 } ; z = - \frac { 1 } { 9 }

C) x=118;y=−1312;z=−118x = \frac { 1 } { 18 } ; y = - \frac { 13 } { 12 } ; z = - \frac { 1 } { 18 }

D) x=518;y=−1112;z=−12x = \frac { 5 } { 18 } ; y = - \frac { 11 } { 12 } ; z = - \frac { 1 } { 2 } .

E) x=12;y=−54;z=−12x = \frac { 1 } { 2 } ; y = - \frac { 5 } { 4 } ; z = - \frac { 1 } { 2 } .

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