Solve the System $$\begin{aligned}2 x + 3 y + 5 z & = - 23 \\- 4 x - 2 y + 4 z & = 9 \\- 6 x - y + 13 z & = - 5\end{aligned}$$

question 73

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{aligned}2 x + 3 y + 5 z & = - 23 \\- 4 x - 2 y + 4 z & = 9 \\- 6 x - y + 13 z & = - 5\end{aligned}$$

• A) \(\{ ( - 1 , - 2 , - 3 ) \}\)
• B) \(\{ ( - 1 , - 3 , - 2 ) \}\)
• C) No solution; inconsistent
• D) Infinitely many solutions; dependent

---

Definitions:

Rate of Inflation

The percentage increase in the general level of prices for goods and services in an economy over a period of time.

Unemployment Rate

The percentage of the labor force that is jobless and actively looking for employment.

Predict

The act of forecasting future values or outcomes based on historical data or trends.

Graphical Display

The visual representation of data or information, typically in the form of charts, graphs, or tables.