Equation of a Line Completing System with 3x - 2y = 8

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The equation of a line that forms a system with the equation 3x - 2y = 8, which has infinitely many solutions, is indeed 3x - 2y = 8. This is confirmed by the fact that it represents the same line as the equation 6x - 4y = 16, which is a scalar multiple of the original equation. However, simply repeating the same equation does not constitute a valid system of equations, as a system requires at least two distinct equations.

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Q: Write an equation of a line that forms a system with the equation 3x - 2y = 8 that has infinitely solutions.
A: 3x - 2y = 8.
I believe this to be correct because it makes an identical line to one of her correct answers (6x - 4y = 16) and nowhere did it specify that it had to be new. Could you tell me my mistake?
 
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Did you really think that your teacher intended you to just copy what she had written? On a technical level repeating the same equation does NOT give a "system".
 

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