Question

B is between A and C. If A B = x + 2 , B C = 2 x − 3 , and A C = 5 x − 7 , what is AB? A B =

Answer 1

Answer: AC = 3

Explanation:

We know that B is between A and C, but it may not be the midpoint. Therefore, AB + BC = AC, meaning that we can add the AB and BC equations and set that equal to the AC equation:

x + 2 + 2x - 3 = 5x - 7

3x - 1 = 5x - 7

3x + 6 = 5x

6 = 2x

x = 3

Now we can plug in 3 as x to get AB:

AC = 5(2) - 7

AC = 10 - 7

AC = 3