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Mathematics 20 Online
OpenStudy (anonymous):

How many solutions does the system of equations have? A. The system has exactly one solution. B. The system has infinitely many solutions. C. The system has no solution. http://static.k12.com/calms_media/media/1417000_1417500/1417265/1/0a7da8b626b3bb6057732d44966ea72c1152eebb/MS_PA_130905_170071.jpg

OpenStudy (mertsj):

How many points do the two lines have in common?

OpenStudy (anonymous):

i really dont know

OpenStudy (mertsj):

|dw:1392266627943:dw|

OpenStudy (mertsj):

Those lines are parallel. They have no points in common. Therefore that system has no solution

OpenStudy (anonymous):

ok

OpenStudy (mertsj):

|dw:1392266679902:dw|

OpenStudy (mertsj):

|dw:1392266700626:dw|

OpenStudy (mertsj):

Those lines are the same line. They have all points in common. The number of solutions is infinite.

OpenStudy (mertsj):

|dw:1392266772239:dw|

OpenStudy (mertsj):

Those lines intersection at 1 point. They have 1 point in common. Therefore that system has 1 solution.

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