SOLUTION: We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y. 2x-4 4y-x x+y Solve for x a

Algebra ->  Polygons -> SOLUTION: We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y. 2x-4 4y-x x+y Solve for x a      Log On


   

Question 809878: We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y.
2x-4
4y-x
x+y
Solve for x and y.
I keep getting different answers for x and y when using the substitution method. Thank you for your time and assistance.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y.
:
A regular polygon has all sides and angles equal, therefore
2x - 4 = x + y
2x - x = y + 4
x = y + 4
also
2x - 4 = 4y - x
2x + x - 4y = 4
3x - 4y = 4
replace x with (y+4)
3(y+4) - 4y = 4
3y + 12 - 4y = 4
3y - 4y = 4 - 12
-y = -8
y = 8
then
x = 8 + 4
x = 12
:
:
Confirm this by seeing if all the sides are equal with these value
2x - 4
24 - 4 = 20
:
x + y
12 + 8 = 20
:
4y - x
32 = 12 = 20