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 (3, -2) a solution to the equation \… | Substitute x=3 into the equation, we get \(y=\frac{2*3-5}{3+1} = \frac{1}{2}\) |