Solve Each System of Equations Using Matrices (Row Operations) $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

question 145

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

• A) \(x = 2 , y = 6 , z = 7\)
• B) \(x = - 2 , y = 6 , z = 4\)
• C) \(x = 2 , y = 7 , z = 6\)
• D) Inconsistent

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Definitions:

Axial Skeleton

The part of the skeleton that consists of the bones of the head and trunk, including the skull, spine, ribs, and sternum.

Hyoid

A U-shaped bone in the neck that supports the tongue and provides attachment points for some neck muscles, unique because it does not directly articulate with other bones.

Neck Region

An anatomical area that extends from the base of the head to the shoulders, containing structures such as the cervical vertebrae and various muscles and glands.

Depression

A mental health disorder characterized by persistently low mood, loss of interest in activities, and a significant impairment in daily functioning.