Question

1. a system of equations where the graphs intersect at exactly one point is said to have a ______ solution.
2. if the graphs of the equations in a system never intersect, the system is said to have ______ solutions.
3. a system of equations where the graphs are identical has ______ many solutions.
4. equations that do not intersect and are always the same distance apart are described as ______.
5. when two lines intersect at one point, they meet at the ______ of the lines.

Explanation:

1. A system with graphs intersecting at one point has exactly one unique solution.
2. Non-intersecting graphs mean no shared solution, so 0 solutions.
3. Identical graphs overlap completely, creating infinitely many solutions.
4. Lines with constant distance and no intersection are defined as parallel.
5. The single point where two lines cross is their intersection point.

Answer:

1. unique
2. no
3. infinitely
4. parallel
5. intersection point