Write the System of Equations That Corresponds to the Following $\left[\begin{array}{cccc}4 & -9 & 0 & 5 \\ 8 & 4 & -7 & 2 \\ 0 & 4 & 0 & 3\end{array}\right]$

question 22

Multiple Choice

Write the system of equations that corresponds to the following augmented matrix: $\left[\begin{array}{cccc}4 & -9 & 0 & 5 \\ 8 & 4 & -7 & 2 \\ 0 & 4 & 0 & 3\end{array}\right]$

• A) \( \left\{\begin{array}{r}4 x-9=5 \\ 8 x+4 y-7=2 \\ 4 y=3\end{array}\right. \)
• B) \( \left\{\begin{array}{r}4 x+9 y=5 \\ 8 x+4 y+7 z=2 \\ 4 y=3\end{array}\right. \)
• C) \( \left\{\begin{array}{r}4 x-9 y+z=5 \\ 8 x+4 y-7 z=2 \\ x++y+4 z=3\end{array}\right. \)
• D) \( \left\{\begin{array}{r}4 x-9 y=5 \\ 8 x+4 y-7 z=2 \\ 4 y=3\end{array}\right. \)
• E) \( \left\{\begin{array}{r}4 x+8 y=0 \\ -9 x+4 y=4 \\ -7 y=0 \\ 5 x+2 y=3\end{array}\right. \)

---

Definitions:

Secondary Groups

Groups that are larger and less intimate than primary groups; members’ relationships are usually organized around a specific goal and are often temporary.

Distinct

Clearly noticeable or markedly different from something else.

Group Size

The number of individuals making up a group, which can influence the group's dynamics, communication, and effectiveness.

Relationships

are connections or associations between individuals, defined by emotional, familial, social, or professional interactions.