Solve the System $$\begin{array} { l } x + y - 2 z = 9 \\3 x + y + 2 z = 15 \\x - 5 y + 22 z = - 27\end{array}$$

question 59

Multiple Choice

Solve the system. If there is more than one solution, write the general solution.
- $$\begin{array} { l } x + y - 2 z = 9 \\3 x + y + 2 z = 15 \\x - 5 y + 22 z = - 27\end{array}$$
Solution $\{ - 2 z + 3,4 z + 6 , z \mid z$ is any real number $\}$

• A) \(( 1,10,1 ) , ( 1 , - 2 , - 2 ) , ( 5 , - 4 , - 1 )\)
• B) \(( 3,6,0 ) , ( - 1,14,2 ) , ( 1 , - 2 , - 2 )\)
• C) \(( 3,6,0 ) , ( 1,10,1 ) , ( - 1,14,2 )\)
• D) \(( 1,10,1 ) , ( - 1,14,2 ) , ( 5 , - 4 , - 1 )\)

---

Definitions:

Cost Center

A responsibility center that incurs costs but does not directly generate revenues.

Generates Revenues

Generates revenues refers to the activities or strategies a company employs to earn income from its business operations.

Profitability

A measure of the efficiency and financial success of a company, usually determined by the ratio of its profits to its revenues.

Controllable Costs

Expenses that can be managed or influenced by decisions made by a company's management.