The Following System Does Not Have a Unique Solution $\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$

question 12

Multiple Choice

The following system does not have a unique solution. Solve the system.
- $\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$

• A)x = - 8 , y & = 1 , z = - 1
• B) infinitely many solutions of the form \(x = - 10 - 2 z , y = 1 , z = z\)
• C) infinitely many solutions of the form \(x = - 10 - 2 z , y = 1 - z , z = z\)
• D) inconsistent system, no solution

---

Definitions:

Patriarchal Beliefs

Cultural or societal norms and values that prioritize male authority and dominance in families, communities, and governance, often at the expense of women’s rights and equality.

Legal Dependent

An individual, often a child or spouse, who is legally recognized as being under the care and financial responsibility of another person or guardian.

Military Disaster

A military disaster refers to a significant defeat of armed forces in battle, often resulting in considerable loss of life and equipment.

Treaty of Friendship

An agreement between two or more nations emphasizing mutual respect, cooperation, and support, but it can relate to various specific historical treaties.