Below, five systems of linear equations have been put in reduced row echelon form. Identify how many solutions each one has, and enter that number in the blank. Enter the word "infinite" (without the quote marks) if there are infinitely many solutions. (a) 1 equation editorEquation Editor ⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢100000000000−400000010000 050000∣∣∣∣∣∣∣∣∣−5−40000⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥ (b) 6 equation editorEquation Editor ⎡⎣⎢⎢⎢⎢⎢⎢1000001000001000001000001∣∣ ∣∣∣∣∣−4420−2⎤⎦⎥⎥⎥⎥⎥⎥ (c) 3 equation editorEquation Editor ⎡⎣⎢100−2000000100−10440∣∣∣∣401⎤⎦⎥ (d) 5 equation editorEquation Editor ⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢1000000100000010000001000 00010∣∣∣∣∣∣∣∣∣2−5−5020⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥ (e) 3 equation editorEquation Editor ⎡⎣⎢⎢⎢⎢⎢⎢10000−2000001000−52000−3−40 00∣∣∣∣∣∣∣3−4100⎤⎦⎥⎥⎥⎥⎥⎥