There are Infinite Solution to the system of equations of lines, the correct answer would be option (C) Infinitely many.
What is Infinite Solution?
Infinite Solution is defined as if the lines are parallel, then their y-intercepts must match. The two lines that have the same slope and y-intercept are the same line. To put it another way, the system would produce an infinite solution if the two lines shared a single line. Therefore, if an equational system has an infinite number of solutions, the system will be consistent.
Given that two identical lines,
Since the lines are parallel to one another and have the same coordinates. This is because, if the two lines exactly line up, there are an infinite number of solutions; yet, if the two lines are parallel, there is no point at which they cross, hence there are no solutions, and the number of solutions would be zero.
Hence, there are Infinite Solution to the system of equations of lines.
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