Question

Points A, B, and C are collinear. Point B is between A and C. Solve for x if AC = 3x + 3, BC = 3, and AB = 2x + 2.

Answer 1

Answer:

x=2.

Step-by-step explanation:

It is given that points A, B, and C are collinear. Point B is between A and C.

Using segment addition property, we get

$AC=AB+BC$

It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.

$3x+3=(2x+2)+3$

$3x+3=2x+5$

Isolate variable terms.

$3x-2x=5-3$

$x=2$

Therefore, the value of x is 2.