Find the Solution or Solutions, If Any Exist, to the System

question 82

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { c } x + y + z = 11 \\x - y + 5 z = 23 \\5 x + y + z = 31\end{array} \right.$$

• A) \(x = 4 , y = 5 , z = 2\)
• B) \(x = 5 , y = 2 , z = 4\)
• C) inconsistent system, no solution
• D) \(x = 4 , y = 2 , z = 5\)

---

Definitions:

Vasodilator

A substance that causes blood vessels to expand, increasing blood flow; used in the treatment of conditions like hypertension.

Vasopressor

A type of medication that causes blood vessels to narrow, raising blood pressure.

Phlebotomy

The act or practice of drawing blood from a vein, typically for diagnostic purposes.

Intravenous

Relating to the administration of drugs or fluids directly into a vein.