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The system of equations graphed below has how many solutions?

The system of equations graphed below has how many solutions?-example-1

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Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.
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User Alexdor
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