Question

For what values of x and y is quadrilateral ABCD a parallelogram?

Answer 1

x = 6 y = 4

Explanation:

AB = DC

AD = BC

we use AB and DC

6x - 26 = 8x - 38

-26 + 38 = 8x - 6x

12 = 2x

x = 12 : 2

x = 6

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check

6 * 6 - 26 = 8 * 6 - 38

36 - 26 = 48 - 38

10 = 10

the answer is good

now we use AD and BC

6y + 12 = 3x + 24

-3x + 6y - 12 = 0

3y - 12 = 0

3y = 12

y = 12 : 3

y = 4

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check

6 * 4 + 12 = 3 * 6 + 24

24 + 12 = 12 + 24

36 = 36

the answer is good