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If two equations graph as straight lines, can the system have exactly 2 solutions? Explain your answer, including ALL the possibilities of numbers of solutions. (tell the teacher how many solutions there can be, and what the graphs look like). 

 Apr 29, 2019
 #1
avatar+128474 
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No....

 

They either intersect at one point  (one solution)  or

They are parallel  (no intersections at all....so...no solutions )  or

They are the same line and intersect at an infinite number of points

 

This might help  :  http://nogales.laurusmath.com/cpages/contents/pdf/HS-S3-C3-PO4-notes.pdf

 

 

cool cool cool

 Apr 29, 2019

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