Solve the System of Equations $$\begin{array} { r l r } x - y + 5 z & = & - 4 \\3 x + z & = & 0 \\- x + y - 5 z & = & 12\end{array}$$

question 63

Multiple Choice

Solve the system of equations.
- $$\begin{array} { r l r } x - y + 5 z & = & - 4 \\3 x + z & = & 0 \\- x + y - 5 z & = & 12\end{array}$$

• A) \(( 0,0,4 )\)
• B) \(( 5,4,0 )\)
• C) No solution
• D) Infinite number of solutions; dependent equations

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Definitions:

Distributed Terms

Terms in a categorical syllogism that apply to all members of its category.

A Proposition

A statement that can either be true or false, expressed in a declarative form.

Distributed Terms

Terms in a categorical proposition that apply to all members of the category they describe, crucial in determining the validity of logical arguments.

Unstated Premise

An implicit assumption in an argument that is not directly expressed but is required for the argument to hold.