Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. 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. The system of equations does not have one solution because the lines will never intersect.

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Answer:

the answer is A. The system of equations has one solution because the lines will eventually intersect

Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution

The system of equations has one solution because the lines will eventually intersect.

Which statement is true?

We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.

Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).

In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.

With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."

If you want to learn more about systems of equations:

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