It is known that the solution of the system of equations x + y = m 5x + 3 y = 31 about X and Y is nonnegative, so we can find the value of integer M

It is known that the solution of the system of equations x + y = m 5x + 3 y = 31 about X and Y is nonnegative, so we can find the value of integer M


By solving the equations, we can get x = 31 − 3m2y = − 31 + 5m2, because x ≥ 0, y ≥ 0, so 5m − 312 ≥ 031 − 3M2 ≥ 0, we can get m ≥ 315m ≤ 313, so 315 ≤ m ≤ 313, because m is an integer, so m = 7, 8, 9, 10



On the system of equations of X, y {5x + 3Y = 23, x + y = P, the solution is a positive integer, then the value of integer P is________ .