Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

question 18

Multiple Choice

Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

• A) \(\varnothing\)
• B) \(\{ ( 0 , - 6,1 ) \}\)
• C) \(\{ ( - 2,0 , - 1 ) \}\)
• D) \(\{ ( 1 , - 5,0 ) \}\)

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Definitions:

Consequent

The outcome or result in a conditional statement, typically following the word "then" in the format "if p then q".

Truth Values

The valuation in logic that indicates the relationship of a statement to the truth, typically classified as either true or false.

Symbolize

To use symbols to represent ideas, beliefs, or objects in a way that conveys meaning beyond their literal sense.

Main Connective

In logic, the connective that determines the main logical operation in a compound statement.