Solve the System of Equations $$\left\{ \begin{array} { c } x + y + z = 7 \\x - y + 2 z = 7 \\5 x + y + z = 11\end{array} \right.$$

question 163

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { c } x + y + z = 7 \\x - y + 2 z = 7 \\5 x + y + z = 11\end{array} \right.$$

• A) \(x = 1 , y = 4 , z = 2\)
• B) \(x = 4 , y = 2 , z = 1\)
• C) \(x = 1 , y = 2 , z = 4\)
• D) \(x = 4 , y = 1 , z = 2\)

---

Definitions:

Random Assignment

Placing research participants into the conditions of an experiment in such a way that each participant has an equal chance of being assigned to any level of the independent variable.

Random Sampling

A method of sampling in which each member of a population has an equal chance of being selected to represent the whole.

Self-Report Methods

Research or assessment tools where individuals provide data about themselves, typically through questionnaires or interviews.

Participant Observation

A method used in social sciences where researchers immerse themselves in a community or situation to observe and participate in its activities, gaining an insider's perspective.