The coordinates of a point satisfy the equation of a line if the point is ____. If a single point satisfies the equations of two lines, the point is ____ at that point. This means that each point where the two lines ____ is a ____ to the system of equations. This means that if you substitute the X- and Y-values of the point for X and Y in the equations, both equations will be ____.

The coordinates of a point satisfy the equation of a line if the point is on the line.

If a single point satisfies the equations of two lines, the point is intersecting at that point.

This means that each point where the two lines intersect is a solution to the system of equations.

This means that if you substitute the X- and Y-values of the point for X and Y in the equations, both equations will be true.

### Explanation:

– A point is considered to be “on the line” if its coordinates fulfill the line’s equation.

– When two lines meet at a point, we denote that point as intersecting, which indicates they’re solving the same equations simultaneously.

– The solution to the system of equations is simply the point where the two lines intersect, confirming both equations are satisfied.