Question 930737
Let x < y < z


x + y + z = 10
2x = z - 1
x + z = 7


y = (x + y + z) - (x + z) = 10 - 7 = 3


2x - z = -1
x + z = 7


Add equations 2 and 3 to get 3x = 6, so x = 2 and z = 5.


(x, y, z) = (2, 3, 5)