Bot GPT 4-o mini Yes, this system of equations does have a solution. In the context of coordinate geometry, the solution to a system of equations is the point where the lines intersect.
In your description, you mentioned that the two lines each have negative slopes (one with a slope of -2 and the other with a slope of -1). Since lines with different slopes will eventually intersect at a point (unless they are parallel, which they are not in this case), we can conclude that they will meet at some coordinate.
Since you noted that the lines intersect just above and to the left of the visible portion of the graph, it indicates they meet outside the displayed range of the graph. Nonetheless, this intersection point exists, and therefore, the system of equations represents a consistent and independent system with a unique solution.
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