If the graph of a system of linear equations results in parallel lines, what can we say about the solution to that system?

There is one ordered pair solution.

There are two ordered pair solutions.

There are no solutions.

There are infinite solutions on the line.

Question

If the graph of a system of linear equations results in parallel lines, what can we say about the solution to that system?

There is one ordered pair solution.

There are two ordered pair solutions.

There are no solutions.

There are infinite solutions on the line.

anonymous · Answer

If the answer describes the same line, then there are infinite solutions. If the answer results in parallel but distinct lines, there are no solutions.

anonymous · Answer

If you think about it as the lines representing where the equation is true, it becomes more obvious. Parallel lines will never cross in Euclidean geometry so the equations will never be simultaneously true.

anonymous · Answer

thank you and thnx for explaining it