Question

Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.

Answer 1

Answer: 1

From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.

i hope this helped! :D