Solve the System of Equations $$\left\{ \begin{array} { l } x - y + 3 z = - 4 \\3 x + z = 0 \\- x + y - 3 z = 16\end{array} \right.$$

question 129

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { l } x - y + 3 z = - 4 \\3 x + z = 0 \\- x + y - 3 z = 16\end{array} \right.$$

• A) \(x = 4 , y = 2 , z = 0\)
• B) inconsistent (no solution)
• C) \(x = 0 , y = 0 , z = 2\)
• D) \(x = 0 , y = 2 , z = 0\)

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Definitions:

Austro-Hungarian Empire

A dual monarchy in Central Europe from 1867 to 1918, consisting of Austria and Hungary, known for its diverse population and significant role in World War I.

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A bilateral agreement in which two countries agree not to attack or support an attack against each other.

Joseph Stalin

A Soviet political leader who served as the General Secretary of the Communist Party of the Soviet Union from 1922 until his death in 1953, known for his authoritarian rule.

Adolf Hitler

was the dictator of Nazi Germany from 1934 to 1945, infamous for initiating World War II and orchestrating the Holocaust.