Question

A, B and C are collinear points. B is between A and C. AB=3x+4 BC=4x-1 AC=8x-9 Find AC

Answer 1

`AC = 87`

Explanation:

Given

`AB = 3x + 4`

`BC = 4x -1`

`AC = 8x - 9`

Required

The value x

Since A, B and C are collinear, then;

`AC = AB + BC`

This gives:

`8x - 9 =3x+4+4x-1`

Collect like terms

`8x - 3x - 4x = 9 + 4-1`

`x = 12`

We have:

`AC = 8x - 9`

`AC = 8*12 - 9`

`AC = 87`