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Use Cramer's Rule to Solve the Following System of Linear {14x21y+14z=121x+14y+7z=528x+7y21z=5\left\{ \begin{aligned}14 x - 21 y + 14 z & = 1 \\- 21 x + 14 y + 7 z & = 5 \\28 x + 7 y - 21 z & = 5\end{aligned} \right.

Question 6

Multiple Choice

Use Cramer's Rule to solve the following system of linear equations: {14x21y+14z=121x+14y+7z=528x+7y21z=5\left\{ \begin{aligned}14 x - 21 y + 14 z & = 1 \\- 21 x + 14 y + 7 z & = 5 \\28 x + 7 y - 21 z & = 5\end{aligned} \right.


A) x=57;y=5549;z=95147x = \frac { 5 } { 7 } ; y = \frac { 55 } { 49 } ; z = \frac { 95 } { 147 }
B) x=37;y=4598;z=1249x = \frac { 3 } { 7 } ; y = \frac { 45 } { 98 } ; z = \frac { 12 } { 49 }
C) x=1114;y=11598;z=106147x = \frac { 11 } { 14 } ; y = \frac { 115 } { 98 } ; z = \frac { 106 } { 147 }
D) x=1121;y=115147;z=106147x = \frac { 11 } { 21 } ; y = \frac { 115 } { 147 } ; z = \frac { 106 } { 147 }
E) x=37;y=7598;z=2749x = \frac { 3 } { 7 } ; y = \frac { 75 } { 98 } ; z = \frac { 27 } { 49 }

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