Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $$\begin{array} { l } 2 ( x - 2 z ) = 3 y + x + 30 \\x = 2 y - 2 z - 3 \\- 5 x + 2 y + 6 z = - 41\end{array}$$

question 66

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $$\begin{array} { l } 2 ( x - 2 z ) = 3 y + x + 30 \\x = 2 y - 2 z - 3 \\- 5 x + 2 y + 6 z = - 41\end{array}$$

• A) \(\{ ( 3 , - 1,5 ) \}\)
• B) \(\{ ( 1 , - 3 , - 5 ) \}\)
• C) \(\{ ( - 3,1 , - 5 ) \}\)
• D) \(\{ ( - 1,3,5 ) \}\)

---

Definitions:

Solvency

Refers to an entity's ability to meet its long-term financial liabilities.

Current Position Analysis

Evaluation of a company’s current financial health and performance, focusing on its liquidity, solvency, and profitability.

Vertical Analysis

A method of financial statement analysis in which each entry for each of the three major categories of accounts (assets, liabilities, and equity) or income and expense is represented as a proportion of the total account.

Percentage Analysis

A financial analysis technique that involves expressing each item in a financial statement as a percentage of a base amount to assess the financial health and performance of a company.