x = 6, y = 4
Step-by-step explanation:
The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.
- DH = HF ⇒ x + 2 = 2y
- GH = HE ⇒ 4x - 3 = 5y + 1
x + 2 = 2y,
4x - 3 = 5y + 1
x = 2y - 2,
4(2y - 2) - 3 = 5y + 1
x = 2y - 2,
8y - 8 - 3 = 5y + 1
x = 2y - 2,
8y - 11 = 5y + 1
x = 2y - 2,
8y - 5y = 11 + 1
x = 2y - 2,
3y = 12
x = 2y - 2,
y = 4
x = 2*4 - 2,
y = 4
x = 6,
y = 4