The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.
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OpenStudy (anonymous):
sometimes
always or never?
OpenStudy (anonymous):
would it be never?
OpenStudy (whpalmer4):
If you have a system of 2 equations, that represents two lines. If the lines intersect, the solution is the point of intersection. If the lines are parallel, they never intersect and there are no solutions. If the lines are identical, then there are infinitely many solutions.
OpenStudy (anonymous):
Always?
OpenStudy (whpalmer4):
Same slope and same intercepts means the same line, doesn't it?
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OpenStudy (chillout):
If they intercept the same y-point and have equal slopes, they are the same line.
OpenStudy (anonymous):
So it's always?
OpenStudy (chillout):
Yes.
OpenStudy (anonymous):
Thank you.
OpenStudy (anonymous):
It was never -_-
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OpenStudy (chillout):
What we meant is that the systemm will ALWAYS will have solutions, as they are infinite :]
OpenStudy (chillout):
But taking a close look at the question, it states " will have no solutions." So this statement is wrong, therefore the answer is "never". :]