Solve the Linear System Using an Inverse Matrix $$\begin{array} { c } x + 2 y + 3 z = 1 \\x + y + z = - 4 \\2 x + 2 y + z = - 6\end{array}$$

question 82

Multiple Choice

Solve the linear system using an inverse matrix.
- $$\begin{array} { c } x + 2 y + 3 z = 1 \\x + y + z = - 4 \\2 x + 2 y + z = - 6\end{array}$$

• A) \(( - 5,12 , - 1 )\)
• B) \(( 4,8 , - 6 )\)
• C) \(( - 21 , - 31 , - 14 )\)
• D) \(( - 11,9 , - 2 )\)

---

Definitions:

Quantity Demanded

The complete sum of a certain good or service that consumers are ready and capable of buying at a determined price level.

Inferior Good

A type of good whose demand decreases as consumers' income increases, opposite to normal goods.

Normal Good

A good for which demand increases when consumer income rises, and falls when consumer income decreases.

Complementary Goods

Products or services that are typically consumed together because the use of one enhances the use of the other.