SOLUTION: Find the value of x and y. Side DC is x+2y , CB is 15 , BA is 25, and side AD is 2x - 3y.

Algebra ->  Parallelograms -> SOLUTION: Find the value of x and y. Side DC is x+2y , CB is 15 , BA is 25, and side AD is 2x - 3y.       Log On


   

Question 705224: Find the value of x and y. Side DC is x+2y , CB is 15 , BA is 25, and side AD is 2x - 3y.
Answer by filboi(35) About Me  (Show Source):
You can put this solution on YOUR website!
It would help if you write the figure in a piece of paper.
Since DC=AB:
x+2y=25 ; x=25-2y Eq.1
And AD=CB:
2x-3y=15 Eq.2
Substitute x in Eq.2.
2(25-2y)-3y=15
50-4y-3y=15
Solving for y will give y=5. Then substitute the value of y in Eq.1:
x=25-2(5)=15
So the answer is (x,y)=(15,5) or x=15, y=5.