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A system of two linear equations has infinite solutions. What does this tell you about the graph of the system?

А) The system graphs as parallel lines.
B) The system graphs as one line
C) The system graphs as perpendicular ones.
D) The system graphs as intersecting lines​

User Rpmansion
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1 Answer

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Answer:

B) The system graphs as one line.

Explanation:

The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.

So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.

Hope this helps!

User Manish Patel
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