Question

Let B be between A and C. If AB = 3x + 5, BC = 5x - 1, AC = 36, solve for x.

Answer 1

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

Let B be between A and C.

$AB = 3x + 5$

$BC = 5x - 1$

$AC = 36$

To Find:

x=?

Solution:

B be between A and C as shown in Figure

A-B-C such that

$AC=AB+BC$           ...........Line Addition Property

Substituting the given values we get

$36=3x+5+5x-1=8x+4\\\\\therefore 8x=36-4=32\\\\\therefore x=\dfrac{32}{8}=4\\\\\therefore x=4$

The value of x is 4.