Question

ABCD is a parallelogram.

Answer 1

Opposite sides of a parallelogram are equal lengths, so ...

... AB = CD

... 6x +30 = 2y -10

and

... BC = AD

... 2x -5 = y -35

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The equations can be put in standard form to get

... 3x -y = -20

... 2x -y = -30

Subtracting the second from the first, we get

... x = 10

Solving for y, we have

... y = 2x+30 = 2·10 +30 = 50

The values of x and y are x=10, y=50.

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AB = 6x+30 = 90

BC = 2x-5 = 15