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 | Is the point (2,4) a solution to the equation \(y… | Substitute the x-coordinate from the point into the equation: \(y = \frac{{3(2) - 2}}{{2 + 1}}\) |