Question

Given the information below, find AC. B is between A and C AC=2x+8 AB=4x-16 BC=3x-6

Answer 1

Answer:

$AC = 20$

Step-by-step explanation:

Given

$AC = 2x + 8$

$AB = 4x - 16$

$BC = 3x - 6$

Required

Find AC

First, we need to solve for x

Since B is between A and C, then

$AC = AB + BC$

Substitute values for AC, AB and BC

$2x + 8 = 4x - 16 + 3x - 6$

Collect Like Terms

$2x - 4x - 3x = -16 - 6 - 8$

$-5x = -30$

Divide through by -5

$\frac{-5x}{-5} = \frac{-30}{-5}$

$x = \frac{-30}{-5}$

$x = 6$

Substitute 6 for x in $AC = 2x + 8$

$AC= 2 * 6 + 8$

$AC= 12 + 8$

$AC = 20$