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

Answer:

$AC = 87$

Step-by-step 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:

$AC = 8x - 9$

$AC = 8*12 - 9$

$AC = 87$