Question

Which statement is correct about the system of linear equations graphed below?

VX
+
2
1
1
2
2
The system of equations has one solution because the lines will eventually intersect.
O The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
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Answer 1

The two lines are coincident (essentially the same line) so every point on the line is a solution. Normally you would say they have infinitely many solutions.

An example of this would be:

y = 2x + 3

2y = 4x + 6

The statement that matches this situation would be D.

Answer:

D. The system of equations does not have only one solution (it has infinitely many) because the lines do not intersect at *only* one point.

Explanation: