Question

What does it mean for a point to be the solution to two equations​

Answer 1

It means the point will satisfy both the equations.

Step-by-step explanation:

If we consider a point P
`(x_(1),y_(1))` 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
`ax_(1) + by_(1) + c = 0` and
`px_(1) + qy_(1) + r = 0`

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
`(x_(1),y_(1))`. (Answer)