Question

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 2x – 5, and HE = 5y + 2. Find the values of x and y.
here is what I got x=3 and y=2 but those arent any of the options. What did I do wrong?

Answer 1

@Shadow

Answer 2

@theDeviliscoming

Answer 3

Remember that opposite lengths are equal to each other.

Where did the H come from though? The parallelogram is stated as `DEFG`

Answer 4

I forgot to add this sorry!

Answer 5

Okay great a visual!

Answer 6

I got the same thing >.> hrmmm

Answer 7

And the options are x = 36, y = 13
x = 39, y = 14
x = 14, y = 39
x = 13, y = 36
so I'm a bit confused

Answer 8

\[DH = HF\]
\[x + 3 = 3y\]
\[x = 3y - 3\]

\[GH = HE\]
\[2x - 5 = 5y + 2\]
\[2(3y - 3) -5 = 5y + 2\]
\[y = 13\]

\[x + 3 = 3(13)\]
\[x = 36\]

Answer 9

They bisect each other so each side is equal to each other.

Answer 10

Oh okay! Thank you so much!

Answer 11

Oh okay, so they are in fact equal but I had to side it to one side to solve by substitution...i see e.e