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Solve the System

Question 166

Essay

Solve the system. If a system is inconsistent or if the equations are dependent, so indicate. {x+12y+z=812x−y+12z=−1x+12y−12z=2\left\{ \begin{array} { l } x + \frac { 1 } { 2 } y + z = 8 \\\frac { 1 } { 2 } x - y + \frac { 1 } { 2 } z = - 1 \\x + \frac { 1 } { 2 } y - \frac { 1 } { 2 } z = 2\end{array} \right.

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