Given that the system of equations {3x + y = 12 has positive integer solution (a is an integer), find the value of A. 4x + ay = 2

Given that the system of equations {3x + y = 12 has positive integer solution (a is an integer), find the value of A. 4x + ay = 2
y=12-3x
There are positive integer solutions
x=1,y=9
x=2,y=6
x=3,y=3
When x = 1, y = 9
4 + 9A = 2, no integer solution, rounding off
When x = 2, y = 6
8+6a=2
The solution is a = - 1
When x = 3, y = 3
12 + 3A = 2, no integer solution, rounding off
In conclusion, a = - 1
I hope it can help the owner,

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