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State True or False in each of the following statements.
There is at least one system of linear equations $$ax + by = c$$, $$dx + ey = f$$, in variable $$x$$, $$y$$, having exactly 2017 solutions.
Correct Answer: True
Two linear equations in two variables represent two lines. Lines either meet in exactly one point, are parallel with no common point, or coincide with infinitely many common points. So such a system has 0, 1 or infinitely many solutions, never exactly 2017; the statement is False.
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