Hey there!
Looks like your answers are correct!
If A is between B and C, that makes the order BAC.
That means that BC is the total length of BAC.
So, that also means that AB + AC = BC, or
(4x- 3) + (5x - 16) = 7x + 5
4x - 3 + 5x - 16 = 7x + 5
9x - 19 = 7x + 5
2x - 19 = 5
2x = 24
x = 12
Now, we substitute "x" into each of the equations.
AB = 4(12) - 3
AB = 48 - 3
AB = 45
BC = 7(12) + 5
BC = 84 + 5
BC = 89
AC = 5(12) - 16
AC = 60 - 16
AC = 44
Looks like your answers are correct!
Have a nice day!