Question

Each equation in a system of linear equations has the same slope. What are the possible solutions the system could have?

A.


The system could have no solution or infinitely many solutions.
B.


The system could have one solution or no solution.
C.


The system could have one solution.
D.


The system could have one solution or infinitely many solutions.

Answer 1

A. The system could have no solution or infinitely many solutions.

Explanation:

Parallel lines have the same slope, meaning that they cannot intersect. So, the system can either have no solution (no intersection), or infinite possible solutions (the same line).