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.