Question

Find the value of x & y in the parallelogram.

Answer 1

Answer:

$x = 2 \: \: \: \: \: \: y = 1.$

Step-by-step explanation:

Opposite sides are equal

$5y + 1 = 3x \\ \\ 3x - 5y - 1 = 0 \: \: \: \: ...(i) \\ \\ 2y + 4 = 5x - 4 \\ \\ 5x - 4 - 2y - 4 = 0 \\ \\ 5x - 2y - 8 = 0 \: \: \: ...(ii) \\ \\ 2(3x - 5y - 1) - 5(5x - 2y - 8 ) = 0 \\ \\ 6x - 25x - 2 + 40 = 0 \\ \\ - 19x = - 38 \\ \\ x = 2 \\ \\ 3(2) - 5y - 1 = 0 \\ \\ 5 = 5y \\ \\ y = 1.$

$x = 2 \: \: \: \: \: \: y = 1.$