Answer:
x = 3; y = 11
Explanation:
A parallelogram has two pairs of congruent opposite sides. For quadrilateral ABCD to be a parallelogram, sides AB and CD must be congruent, and sides AD and BC must be congruent.
AB = CD
2y + 2 = 3y - 9
-y = -11
y = 11
AD = BC
3x + 6 = y + 4
We already know y = 11, so we substitute 11 for y.
3x + 6 = 11 + 4
3x + 6 = 15
3x = 9
x = 3
Answer: x = 3; y = 11