Solve the System $$\begin{array} { l } 8 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 16 x - 12 y + 2 z = 0\end{array}$$

question 446

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 8 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 16 x - 12 y + 2 z = 0\end{array}$$

• A) \(\left. \left\{ x , - \frac { 1 } { 3 } - \frac { 4 } { 3 } x , - 2 - 8 x \right) \right\}\)
• B) \(\left\{ \left( x , \frac { 1 } { 2 } - 2 x , 4 x - 1 \right) \right\}\)
• C) \(\{ ( 0,0 ) \}\)
• D) \(\varnothing\)

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Definitions:

Acceptance Sampling

A statistical quality control method that involves inspecting a random sample of items from a lot to determine if the entire lot should be accepted or rejected.

Upper Control Limit

The highest value on a control chart that represents the boundary of acceptable variation for a process or quality measurement.

Center Line

In quality control charts, this line represents the average or mean value around which data points are expected to fluctuate.