If the System Has Infinitely Many Solutions, Write the Solution $$\begin{array} { l } 2 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 4 x - 12 y + 2 z = 0\end{array}$$

question 276

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 2 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 4 x - 12 y + 2 z = 0\end{array}$$

• A) \(\left\{ \left[ x , - \frac { 1 } { 3 } - \frac { 1 } { 3 } x , - 2 - 2 x \right) \right\}\)
• B) \(\varnothing\)
• C) \(\{ ( 0,0 ) \}\)
• D) \(\left\{ \left\{ x , \frac { 1 } { 2 } - 2 x , 4 x - 1 \right) \right\}\)

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