Question

If point B is between points A and C, AB=2x, BC=7 and AC=6x-5.

Answer 1

Answer:

x = 3

AB = 6

Step-by-step explanation:

Look at the picture.

B is between A and C. Therefore

$AB + BC = AC$

We have the equation:

$2x+7=6x-5$          subtract 7 from both sdies

$2x+7-7=6x-5-7$

$2x=6x-12$          subtract 6x from both sides

$2x-6x=6x-6x-12$

$-4x=-12$              divide both sides by (-4)

$\dfrac{-4x}{-4}=\dfrac{-12}{-4}$

$x=3$

Calculate the length of AB:

$AB=2x\to AB=2(3)=6$