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Question
In the following figures, ABCD is a parallelogram.
find the values of x and y.
Solution
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.
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