A quality control technician is using a linear equation to monitor a machine's energy output. To verify if a specific data point from the machine's logs is a solution to the model, the technician substitutes the values into the equation. If the resulting mathematical statement is true (such as ${}10 = 10$), what is the correct conclusion about that data point?

A project manager is using a linear model to estimate the relationship between hours worked and total project cost. To verify if a specific data entry (x, y) from a previous project is a solution to this linear cost equation, arrange the following procedural steps in the correct order.

An inventory manager is using a linear equation to predict warehouse capacity. To verify specific data entries, they must test ordered pairs (x, y) in the equation. Match each mathematical outcome of this test with its corresponding interpretation.

In a professional cost-tracking model represented by a linear equation, if substituting the values of an ordered pair (x, y) into the equation results in a false mathematical statement, then that data point is NOT a solution and will not lie on the graph of the line.

Audit of Energy Efficiency Records

An energy auditor is reviewing a facility's efficiency data modeled by the linear equation $y = 2x - 3$, where $x$ represents hours of operation and $y$ represents power consumption in kilowatts. To verify if a recorded data point (x, y) is a valid solution, the auditor substitutes the values into the equation. If this substitution simplifies to a(n) ____ mathematical statement, the auditor concludes that the point is a solution and lies exactly on the line representing the equation.

Data Audit Verification for Fuel-Cost Models