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Mathematics 16 Online
OpenStudy (anonymous):

Problem is attached in the picture. Is it Inconsistent or Consistent? Independent or Dependent?

OpenStudy (anonymous):

OpenStudy (anonymous):

ABA I believe

OpenStudy (anonymous):

the solution is a point Consistent Dependent

OpenStudy (anonymous):

the solution is not a point. the x's and y's aren't lined up.

OpenStudy (anonymous):

0=0

OpenStudy (anonymous):

isn't that a true statement?

OpenStudy (anonymous):

doesn't that mean there are infinite solutions.?

OpenStudy (anonymous):

Oh... yeap

OpenStudy (anonymous):

Oh right. That changes my answer :-P Infinitely many solutions inconsistent dependent

OpenStudy (anonymous):

independent*

OpenStudy (anonymous):

BAB

OpenStudy (anonymous):

consistent dependent right?

jimthompson5910 (jim_thompson5910):

The two equations are simply the same line when you graph them (ie one lies on top of the other). So the two equations intersect at an infinite number of points. This means that there are an infinite number of solutions. So the system is consistent (because a solution, at least one solution, exists) and the equations are dependent (because one equation is really based on the other, and vice versa), which tells us that one equation "depends" on the other (and vice versa)

OpenStudy (anonymous):

Thanks Jim , and i sent you an email btw.

jimthompson5910 (jim_thompson5910):

glad to help and I'll check my email

jimthompson5910 (jim_thompson5910):

I don't see you in my inbox, which name did you send it under?

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