# Collinear Lengths

Pro Problems > Math > Geometry > Segments## Collinear Lengths

A, B, C, D, and E are, in order, collinear points. The following lengths are known, in terms of x and y:

AB = x - y

AD = x + 2y - 1

BD = AB + 1

DE = 4y - 4

AE = 2x + y

Find the numerical value of the length of AB.

## Solution

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AB = x - 2y + 17

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CD = y

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