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Mathematics 21 Online
OpenStudy (anonymous):

can someone check my answer ?

OpenStudy (anonymous):

Which graph below shows a system of equations with no solution?

OpenStudy (anonymous):

OpenStudy (mathstudent55):

If the equations are linear, then it's parallel lines. Since the lines do not intersect, there is no common point between them and no solution.

OpenStudy (anonymous):

okay then is gotta be

OpenStudy (anonymous):

this is the only other one that doesnt intersect but its still too close

OpenStudy (mathstudent55):

The first graph shows one solution. The second graph shows no solution. The third graph shows an infinite number of solutions.

OpenStudy (anonymous):

thanks ! can u help with another ? The graph of a system of parallel lines has no solutions. always never sometimes<--- answer

OpenStudy (mathstudent55):

In the third graph, they are trying to show you that one line is just on top of the other line. Both equations have the same graph. That means an infinite number of solutions.

OpenStudy (mathstudent55):

What did we just see in the first problem? Parallel lines mean no solution always. Remember that the third graph does not show parallel lines. It shows the same line graphed twice on top of itself.

OpenStudy (anonymous):

okay so two parallel lines, no matter where they are placed, will always be no solution. gotcha !

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

thanks !

OpenStudy (mathstudent55):

wlcm

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