Which graph shows a system with an infinite number of solutions?

Question

Which graph shows a system with an infinite number of solutions?
Graph A
Graph B
Graph C
y=- 3x+5
y = 2x -
prit
》
Graph A
Graph C
Graph B

GPT-4o mini · Answer

To determine which graph represents a system with an infinite number of solutions, we need to identify graphs where the lines are the same (i.e., they overlap completely).

The equation provided, $y = - 3 x + 5$ , appears to be the equation of a line. However, there is a partial second equation given, $y = 2 x -$ with incomplete information.

Given that we don't have the full equations for all three graphs A, B, and C, we can't definitively identify which graph shows a system with an infinite number of solutions.

However, if you encounter two equations that are identical or essentially the same (e.g., $y = - 3 x + 5$ and $y = - 3 x + 5$ ), then those would represent a system with an infinite number of solutions.

If one of the given graphs explicitly represents the line $y = - 3 x + 5$ multiple times or shows a single line (without any branching or distinct segments), that would imply an infinite number of solutions.

Ultimately, you would need to closely analyze the graphs to identify which one (or more) depicts this condition of being the same line. Please provide more details about the graphs or complete the equation for a more accurate identification.