Question

If the four lines are extended, which system would have only one solution?

A line a and line b
B line b and line c
C line b and line d
D line c and line d

Answer 1

A. Line A and B

Explanation:

Answer 2

A line a and line b

Explanation:

Lines b and c are parallel (no intersection points), so the system will have no solutions.

Lines b and d are parallel (no intersection points), so the system will have no solutions.

Lines c and d coincide (infinitely many intersection points), so the system will have infinitely many solutions.

Lines a and b will intersect after extension, so the system of these two equations will have only one solution.