Question

In the following figures, ABCD is a parallelogram.

find the values of x and y.

Answer 1

ABCD is a parallelogram.
Therefore
AD = BC
AB = DC
Thus
4y = 3x - 3                ....[ Since AD = BC ]
⇒ 3x - 4y = 3            ....(i)
6y + 2 = 4x               ....[ Since AB = DC ]
⇒  4x - 6y = 2           ....(ii)

Solving equations (i) and (ii) we have
x = 5
y = 3.