SOLUTION: How do I solve the following? A, B and C are collinear points and BC=5y+3, AC=3y-1. One point is the midpoint between the other two. Which point is the midpoint and how long is th

Algebra ->  Points-lines-and-rays -> SOLUTION: How do I solve the following? A, B and C are collinear points and BC=5y+3, AC=3y-1. One point is the midpoint between the other two. Which point is the midpoint and how long is th      Log On


   



Question 395326: How do I solve the following? A, B and C are collinear points and BC=5y+3, AC=3y-1. One point is the midpoint between the other two. Which point is the midpoint and how long is the segment?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If y > 1/3, then BC = 5y + 3 > 3y - 1 = AC. Hence A is the midpoint. Then BC = 2(AC) <==> 5y + 3 = 2(3y - 1) <==> 5y + 3 = 6y - 2
==> y = 5.
==> Segment BC = 28.