Solve the System of Equations $$\left\{ \begin{array} { r } x + 4 y - z = 3 \\x + 5 y - 2 z = 5 \\3 x + 12 y - 3 z = 9\end{array} \right.$$

question 63

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { r } x + 4 y - z = 3 \\x + 5 y - 2 z = 5 \\3 x + 12 y - 3 z = 9\end{array} \right.$$

• A) \(x = 3 z + 5\)
• \(y = z - 2\)
• \(z =\) any real number
• B) \(x = - 3 z - 5\)
• \(y = z + 2\)
• \(z =\) any real number
• C) \(x = z - 2\)
• \(y = - 3 z - 5\)
• \(z =\) any real number
• D) inconsistent (no solution)

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Definitions:

Satiety Signals

Internal biological signals sent by the body to indicate fullness and control food intake.

Neurons

Specialized cells in the nervous system that transmit information to other nerve cells, muscle, or gland cells, through electrical and chemical signals.

Ghrelin

A hormone produced in the stomach that stimulates appetite, promoting the feeling of hunger.

CCK

CCK, or Cholecystokinin, is a hormone and neurotransmitter involved in digestion and inducing feelings of satiety, released by the intestines after eating.