Question

Find the values for x and y in OABCD.
11. AE = 3x, EC = y, DE = 4x, EB = y + 1​

Answer 1

x=1, y=3

Explanation:

we know that

In a parallelogram, the diagonals bisect each others

In this problem ABCD is a parallelogram

so

AE=EC

DE=EB

substitute the given values

`3x=y` ----> equation A

`4x=y+1` ----> equation B

Solve the system by substitution

substitute equation A in equation B

`4x=3x+1`

solve for x

`4x-3x=1\\x=1`

Find the value of y

`y=3(1)=3`

therefore

x=1, y=3