Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 4 x - y + 4 z = 58 \\9 x + 3 y + 5 z = 130 \\3 x - 8 y + z = - 16\end{array}$$

question 452

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- $$\begin{array} { l } 4 x - y + 4 z = 58 \\9 x + 3 y + 5 z = 130 \\3 x - 8 y + z = - 16\end{array}$$

• A) \(\{ ( - 8,6,16 ) \}\)
• B) \(\varnothing\)
• C) \(\{ ( 8,6,8 ) \}\)
• D) \(\{ ( 8,8,6 ) \}\)

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Continuous Inflation

Continuous inflation refers to a sustained increase in the general price level of goods and services in an economy over a period of time, eroding purchasing power.

Natural Rate of Unemployment

The level of unemployment that is expected in an economy without temporary fluctuations, often seen as the equilibrium state of the labor market.

Inverse Relationship

A situation where two variables move in opposite directions, meaning when one variable increases, the other decreases.

Active Macroeconomic Policy

Economic strategies implemented by the government or central bank to stabilize the economy by adjusting spending, taxes, and interest rates.