ANSWER
x=12, y=10
EXPLANATION
The diagonals of a parallelogram bisect each other.
This implies that;
AE=EC
[tex]4x = 5y - 2[/tex]
[tex]4x - 5y = - 2...(1)[/tex]
Also, DE=EB;
[tex]2x = y + 14[/tex]
[tex]y =2x - 14...(2)[/tex]
Put equation (2) in (1).
[tex]4x - 5(2x - 14) = - 2[/tex]
Expand;
[tex]4x - 10x + 70 = - 2[/tex]
[tex] - 6x = - 72[/tex]
[tex]x = 12[/tex]
Put x=2, into equation (2).
[tex]y = 2(12) - 14[/tex]
[tex]y = 10[/tex]
