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Mathematics 21 Online
OpenStudy (anonymous):

y = 3x - 1 and y = 3x + 3. I think there's infinity solutions to this system *need sum 1 to corrct again*

OpenStudy (eyust707):

well we gotta be careful

OpenStudy (eyust707):

in the last example there was many solutions because the two lines fell right on top of each other

OpenStudy (eyust707):

in any other case when you have two lines there will only be one solution

OpenStudy (eyust707):

or possibly no solutions if the lines are parallel

OpenStudy (anonymous):

Thats whre I got confused :/

OpenStudy (eyust707):

two lines are parallel if the slope is the same

OpenStudy (eyust707):

what is the slope of the first one? what about the second one?

OpenStudy (eyust707):

both are 3 so they are parallel

OpenStudy (eyust707):

but we gotta make sure they arent the same line

OpenStudy (eyust707):

y=mx + b b says where it crosses the y axis. they cross the y axis in different spots so that means they are parallel and they are different lines

OpenStudy (eyust707):

therefore there are no solutions

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