Respuesta :

The values of x and y in the rectangle ABCD are 1 and 2 respectively.

Properties of a rectangle

  • Opposite sides are equal.
  • Opposite sides are parallel.

Therefore,

AB = DC

AD = BC

2x + 4 = 3y

4x - 2 = y

Hence,

2x - 3y = -4

4x - y = 2

multiply equation(i) by 2

4x - 6y = -8

4x - y = 2

-5y = - 10

y = -10 / -5

y = 2

Therefore,

2x - 3(2) = -4

2x - 6 = -4

2x = -4 + 6

2x = 2

x = 1

learn more on rectangle here: https://brainly.com/question/1580926