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If two lines are parallel, then they have:
one solution
O no solution
infinitely many solutions

Ask by Mccarthy Cook. in the United States
Mar 30,2025

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No solution.

Solución

Parallel lines are defined as lines in a plane that never meet or intersect, regardless of how far they are extended. This means that they do not share any points in common.
Since parallel lines do not intersect, they do not have any points of intersection. Therefore, they do not have any solutions in terms of intersection points.

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Bonus Knowledge

In the world of geometry, when two lines are parallel, they are like two friends walking side by side, never to meet! This means they have no points in common, so they don’t intersect at any place. Therefore, the answer is “no solution.”
Now, imagine if we had a fun twist! If we were to represent these parallel lines with equations, they would have the same slope but different y-intercepts. This clever trick ensures they’ll always be apart, illustrating neatly how parallel lines work in algebra too. So, keep an eye out for those sneaky slopes!

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