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

question 6

Multiple Choice

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

• A) \[x = \frac { 5 } { 7 } ; y = \frac { 55 } { 49 } ; z = \frac { 95 } { 147 }\]
• B) \[x = \frac { 3 } { 7 } ; y = \frac { 45 } { 98 } ; z = \frac { 12 } { 49 }\]
• C) \[x = \frac { 11 } { 14 } ; y = \frac { 115 } { 98 } ; z = \frac { 106 } { 147 }\]
• D) \[x = \frac { 11 } { 21 } ; y = \frac { 115 } { 147 } ; z = \frac { 106 } { 147 }\]
• E) \[x = \frac { 3 } { 7 } ; y = \frac { 75 } { 98 } ; z = \frac { 27 } { 49 }\]