You can put this solution on YOUR website! The point at which two linear equations intersect represents the solution to the system of equations. The solution solves both equations simultaneously.
As an example,
For this system of equations, there is a solution (independent, consistent).
The solution is x=-2, y=-3.
If there is no solution, the case is either that the linear equations represent the same line (dependent).
or the lines are parallel and never meet (inconsistent).