The process of ascertaining whether a point is a solution involves replacing the point's coordinates into a mathematical equation. If the equation holds true following the replacement, we can consider the point as a solution. Conversely, if the equation does not hold, the point is not a solution. This is a critical principle in the fields of algebra and analytic geometry.
| Topic | Problem | Solution |
|---|---|---|
| None | Decide whether the given ordered pair is a soluti… | Substitute the values of the ordered pair into the system of equations. |
| None | Determine if $(3,-6,7)$ is a solution of the syst… | Substitute the values of the ordered triple $(3,-6,7)$ into the system of equations. |