Linear Diophantine Puzzle I

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Each of the letters A, B, C, D, E stands for a different integer from 1 to 5 (so together they use each of 1, 2, 3, 4, 5 exactly once). The following equations hold:

B + A = 6
E + B = C
E + C + B = 8

Give the values of A, B, C, D, E in that order, separated by commas.

Each of the letters A, B, C, D, E stands for a different integer from 1 to 5 (so together they use each of 1, 2, 3, 4, 5 exactly once). The following equations hold:

B + A = 6
E + B = C
E + C + B = 8

Give the values of A, B, C, D, E in that order, separated by commas.