Question

In a parallelogram DEFG, DH = x + 1, HF=3y, GH= 3x-4, and HE=5y+1. find the values of x and y. the diagram is not drawn to sclae.

Answer 1

DH+HF=GH+HE
x+3y+1=3x+5y-3
-2x-2y+4=0
x+y=4
x=-y+4

DH=HF
-y+4=3y
4y=4
y=1

x=3
The value of y is 1 and the value of x is 3