Q: Do graph of a system of parallel lines will have no solutions?

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No Solutions

There will be o solutions.

NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).

The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.

Parallel

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No Solutions

infinitely many solutions :)

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.

Although there is no graph, the number of solutions is 0.

no solutions

There will be o solutions.

Parallel lines don't intersect, no matter how many of them there are.

one solution

If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.

NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).

None, one or an infinite number. In graph form, the three correspond to: None = Parallel lines One = Interscting lines Infinite = Coincident lines.

The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.