Question

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to scale.

Explain the answer.

Answer 1

since DH=GH you set x+5=4x-3
HF=HE so 2y=4y + 1
This gives you a system and I solved by substitution so I got x alone in the first equation-> x=8/5 then I plugged this x into the second equation so
2y=4y + 1
6y=1
y=1/6
x=8/5,y=1/6