Question

1. Algebra Find the values for x and y in ABCD.

AE = 4x, EC = 5y – 2, DE = 2x, EB = y + 14
PLEASE HELP!!

Answer 1

x=12, y=10

Step-by-step explanation

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

`4x = 5y - 2`

`4x - 5y = - 2...(1)`

Also, DE=EB;

`2x = y + 14`

`y =2x - 14...(2)`

Put equation (2) in (1).

`4x - 5(2x - 14) = - 2`

Expand;

`4x - 10x + 70 = - 2`

`- 6x = - 72`

`x = 12`

Put x=2, into equation (2).

`y = 2(12) - 14`

`y = 10`