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 | Determine if the point (2,5) is a solution to the… | Substitute the x-value of the point into both equations: \(2(2) + 3y = 16\) and \(2 + 4y = 18\) |