# SOLUTION: Find the values of x and y. In equangular triangle ABC, AB = 4x - y, BC = 2x + 3y, and AC = 7.

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: Find the values of x and y. In equangular triangle ABC, AB = 4x - y, BC = 2x + 3y, and AC = 7.      Log On

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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Geometry proofs Question 170618This question is from textbook Geometry : Find the values of x and y. In equangular triangle ABC, AB = 4x - y, BC = 2x + 3y, and AC = 7.This question is from textbook Geometry Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!AB,BC,and AC are all equal to each other because this is an equilateral triangle....with this info we can create 2 equations with 2 unknowns(a set of linear equations) : 4x-y=7...eq 1 2x+3y=7..eq 2 : multiply eq 1 by 3 and add to eq 2 to eliminate the y terms : 12x+2x=21+7 : 14x=28 : plugging x's value into eq 1 we get 4(2)-y=7......solving for y :