Find a System of Linear Equations Below That Has the Point

question 49

Multiple Choice

Find a system of linear equations below that has the point $( - 1,0,4 )$ as a solution. $\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 12 \\2 x - 6 y + 8 z = 30 \\7 x - 3 y + 6 z = 17\end{array} \right.$ , $\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 30 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 12\end{array} \right.$ , $\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 17 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 30\end{array} \right.$ , $\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 12 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 30\end{array} \right.$ or $\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 30 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 17\end{array} \right.$

• A) \(\left\{ \begin{array} { c }
• 4 x - 2 y + 4 = 17 \\
• 2 x - 6 y + 8 z = 12 \\
• 7 x - 3 y + 6 z = 30
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { l }
• 4 x - 2 y + 4 z = 12 \\
• 2 x - 6 y + 8 z = 30 \\
• 7 x - 3 y + 6 z = 17
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { l }
• 4 x - 2 y + 4 z = 30 \\
• 2 x - 6 y + 8 z = 12 \\
• 7 x - 3 y + 6 z = 17
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { c }
• 4 x - 2 y + 4 = 12 \\
• 2 x - 6 y + 8 z = 17 \\
• 7 x - 3 y + 6 z = 30
• \end{array} \right.\)
• E) \(\left\{ \begin{array} { c }
• 4 x - 2 y + 4 = 30 \\
• 2 x - 6 y + 8 z = 17 \\
• 7 x - 3 y + 6 z = 12
• \end{array} \right.\)

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Definitions:

Cell Cycle

The series of events that take place in a cell leading to its division and duplication, including interphase, mitosis, and cytokinesis.

Mitosis

A cellular division process whereby two progeny cells are formed, each carrying the same amount and variety of chromosomes as the parental nucleus, commonly seen in regular tissue growth.

Spindle Poles

The ends of a spindle apparatus, which play a critical role in pulling apart chromosomes during cell division.

Midway

A term typically referring to a central or halfway point in distance or time.