When a is an integer value, the solutions of X + y = a + 4,2x + 3Y = a + 8 are nonnegative?

Solve the equations
We get x = 2A + 4
y=-a
The solution is nonnegative
So 2A + 4 ≥ 0, a ≥ - 2
-a≥0 a≤0
So - 2 ≤ a ≤ 0
So the integer value of a is - 2 - 10

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