A logistics coordinator is verifying the settings for a transportation model where $x$ represents fuel units and $y$ represents transport hours. The model is defined by the following system of equations:

$x - 3y = -8$ $-3x - y = 4$

Which of the following ordered pairs (x, y) represents a valid solution that satisfies both equations in the transportation model?

A data analyst is verifying whether a specific data point, $(-2, 2)$, satisfies a predictive model governed by the system of equations $x - 3y = -8$ and $-3x - y = 4$. Arrange the following steps in the correct procedural order to determine if the ordered pair is a valid solution.

A systems analyst is verifying if a specific data point satisfies a resource allocation model defined by the system of equations $x - 3y = -8$ and $-3x - y = 4$. True or False: The ordered pair $(-2, 2)$ is a valid solution to this system.

Validation Criteria for Resource Systems

A quality control inspector is evaluating coordinate data points for a logistics model defined by the system of equations $\{x - 3y = -8, -3x - y = 4\}$. Match each data point with the correct result of its evaluation for this specific system.

A logistics planner is evaluating the proposed coordinate $(2, -2)$ against a constraint model defined by the system of equations $x - 3y = -8$ and $-3x - y = 4$. When they substitute $x = 2$ and $y = -2$ into the first equation, the expression on the left side simplifies to the value ____, indicating that the equation is false and the ordered pair is not a solution.