Use Matrices to Solve the System of Equations (If Possible) $\left\{ \begin{aligned}- 2 x - y - 7 z & = - 27 \\x - 5 y + z & = - 24 \\- 2 x + 4 y - 7 z & = - 2\end{aligned} \right.$

question 20

Multiple Choice

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $\left\{ \begin{aligned}- 2 x - y - 7 z & = - 27 \\x - 5 y + z & = - 24 \\- 2 x + 4 y - 7 z & = - 2\end{aligned} \right.$

• A)x = 3, y = -5, z = 4
• B)x = -3, y = -5, z = 4
• C)x = -3, y = 5, z = 4
• D)x = 5, y = 3, z = -4
• E)no solution

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