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

question 199

Multiple Choice

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

• A) \(\varnothing\)
• B) \(\{ ( x , - 1 - 3 x , - 2 - 6 x ) \}\)
• C) \(\left\{ \left( x , \frac { 1 } { 2 } - 2 x , 4 x - 1 \right) \right\}\)
• D) \(\{ ( 0,0 ) \}\)

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