Solve the System of Equations $$\left\{ \begin{array} { c } x + y + z = - 5 \\x - y + 5 z = 3 \\4 x + y + z = - 17\end{array} \right.$$

question 177

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { c } x + y + z = - 5 \\x - y + 5 z = 3 \\4 x + y + z = - 17\end{array} \right.$$

• A) \(x = 1 , y = - 2 , z = - 4\)
• B) \(x = - 4 , y = - 2 , z = 1\)
• C) \(x = 1 , y = - 4 , z = - 2\)
• D) inconsistent (no solution)

---

Definitions:

American Expansionism

The policy or practice of the United States in extending its territory through acquiring land or exerting influence, evident in the 19th and early 20th centuries.

Rough Riders

A volunteer cavalry regiment commanded by Theodore Roosevelt during the Spanish-American War, noted for their diverse backgrounds and bravery.

Filipino Insurrection

The Filipino Insurrection, also known as the Philippine-American War, was a conflict fought between the United States and Filipino revolutionaries from 1899 to 1902, following the U.S. acquisition of the Philippines from Spain.

Free Silver

A political movement in the late 19th and early 20th centuries advocating for the unrestricted minting of silver coins to increase the money supply.