Question

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

Answer 1

The value of x is 4.

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=(32)/(8)=4\\\\\therefore x=4`

The value of x is 4.