10
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 10 • Mathematics 8

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?

Answer
A
The system of equations does not have only one solution because the lines intersect at one point.
B
The system of equations has one solution because the lines intersect at one point.
C
The system of equations has one solution because the lines do not intersect at only one point.
D
The system of equations does not have only one solution because the lines do not intersect at only one point.

Explanation

When one line completely overlaps the other, every point on the line satisfies both equations. The lines therefore have infinitely many intersection points, not just one, so the system does not have only one solution. This matches choice D.

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