B is the midpoint of AC. AB = 2x-1 and AC=3x+2. Find the value of X,AB, BC, And AC

Answer 1

AC = 2 AB

3x + 2 = 2(2x - 1)

3x + 2 = 4x - 2

4 = x

Can you answer the other parts?

Answer 2

Greetings! Lets solve this shall we ?

So, we must find the segment AB, the value of x, BC and AC using the fact that AB = BC. Then,

2x-1 = 3x+2

-1 = x + 2

-3 = x

Then AB = 2(-3)-1 = -7, AC = 3(-3)+2 = -7. Hence, AC = AB+BC = -7+(-7) = -14.

I hope this helped!