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Given a, b in {0,1,2,3,4............., 9...

Given `a, b in {0,1,2,3,4............., 9, 10).` Consider the system of equations `x+y+z=4 2x + y + 3z=6 x + 2y + az = b` Let L: denotes number of ordered pairs (a, b) so that the system of equations has unique solution M: denotes number of ordered pairs (a, b) so that the system of equations has no solution and N: denotes number of ordered pairs (a, b) so that the system of equations has infinite solutions.Find `(L + M-N).`

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