Question

what is the length of line segment AC if line segment ab is x+4 and line segment bc 3x-8 and line segment ca is x

Answer 1

Is this it? We seem to need an additional fact. Let's assume B is between A and C so AC=AB+BC.

x = x + 4 + 3x - 8

x = 4x - 4

4 = 3x

x = 4/3

Check:

4/3 + 4 + 3(4/3) - 8 = 16/3 - 4 = 4/3, good

Since AC=x our answer is

Answer: 4/3