If (2, 3) is a point on the locus whose equation is ax + 2y = 16, then we can substitute x = 2 and y = 3 into the equation to get:
a(2) + 2(3) = 16
2a + 6 = 16
2a = 10
a = 5
Therefore, the equation of the locus is 5x + 2y = 16.
To show that (0, 8) is another point on the locus, we can substitute x = 0 and y = 8 into the equation:
5(0) + 2(8) = 16
16 = 16
Since the equation is satisfied when x = 0 and y = 8, we can conclude that (0, 8) is another point on the locus.