Question

Parallelogram DEFG is below. DH = y + 4, HF = 3x – 1, GH = 2y, and HE = 3x + 2. Find the values of x and y.
A.

x = 14, y = 11

B.

x = 4, y = 7

C.

x = 7, y = 4

D.

x = 11, y = 14

Answer 1

Where are the Hs in Parallelogram DEFG?

Answer 2

@Directrix

Answer 3

The diagonals of a parallelogram bisect each other.

y + 4 = 3x - 1

Also, 3x + 2 = 2y

The task is to solve the pair of simultaneous equations:

y + 4 = 3x - 1
3x + 2 = 2y
-----------
x = 4 and y = 7 ---> Option B

Answer 4

I think this one is D !

Answer 5

Let's see what I get.

Answer 6

Using (x+1 =2y) and (2x-2 = 2y+2), I got x = 5 and y = 3. ----> C

Answer 7

ohh that makes since thanks !