Answer:
It means the point will satisfy both the equations.
Step-by-step explanation:
If we consider a point P[tex](x_{1},y_{1})[/tex] which is the solution of two equations ax + by + c = 0 and px + qy + r = 0, then it conveys the information that both the equations will be satisfied by this point.
That means [tex]ax_{1} + by_{1} + c = 0[/tex] and [tex]px_{1} + qy_{1} + r = 0[/tex]
At the same time if we consider the geometric interpretation then, the graph of the equations ax + by + c = 0 and px + qy + r = 0 will always pass through the common point P[tex](x_{1},y_{1})[/tex]. (Answer)