The Following System Does Not Have a Unique Solution $$\left\{ \begin{array} { c } x - y + z = 8 \\x + y + z = 6 \\3 x + y + 3 z = 10\end{array} \right.$$

question 135

Multiple Choice

The following system does not have a unique solution. Solve the system.
- $$\left\{ \begin{array} { c } x - y + z = 8 \\x + y + z = 6 \\3 x + y + 3 z = 10\end{array} \right.$$

• A) \(x = - 2 , y = 1 , z = 9\)
• B) \(x = 7 , y = - 1 , z = 0\)
• C) inconsistent system, no solution
• D) \(x = 5 , y = 3 , z = 6\)

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Definitions:

Sociological Research

The scientific process of investigating social phenomena, patterns, and behaviors through various methods and approaches.

Deductive Reasoning

The process of creating a specific research question about a focused point, based on a more general or universal principle.

Inductive Reasoning

The process of arriving at general conclusions from specific observations.

Controlled Experiment

A scientific test in which only one variable is changed at a time to isolate and measure its effect accurately.