Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian $$\begin{array} { r } x - y + z - w = 10 \\- 2 x + 3 y + 5 w = - 28 \\x + 2 y + 8 z + 3 w = - 10 \\x - 4 y - 6 z - 5 w = 30\end{array}$$

question 63

Multiple Choice

Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian Elimination to Systems Without Unique Solutions
- $$\begin{array} { r } x - y + z - w = 10 \\- 2 x + 3 y + 5 w = - 28 \\x + 2 y + 8 z + 3 w = - 10 \\x - 4 y - 6 z - 5 w = 30\end{array}$$

• A) \(\{ ( - 17 w - 10 , - 13 w - 16,5 w + 4 , w ) \}\)
• B) \(\{ ( 3 w - 2 , - 8 w + 3,4 w + 9 , w ) \}\)
• C) \(\{ ( 24,10 , - 6 , - 2 ) \}\)
• D) \(\varnothing\)

---

Definitions:

Book Value per Share

The equity available to shareholders divided by the number of outstanding shares, representing a company's assets minus its liabilities on a per-share basis.

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations with its current assets.

Acid-Test Ratio

A financial metric that measures a company's ability to pay its short-term liabilities with its most liquid assets, excluding inventory.

Current Assets

Assets that a company expects to convert into cash, sell, or consume within one year or within the operating cycle, including cash, inventory, and accounts receivable.