Question

If ED = 5y + 6 and DB = y + 30, find the value of y. Then find ED, DB, and EB.

Answer 1

Part 1) The value of y=6

Part 2) ED=36, DB=36 and EB=72

Explanation:

In this problem we know that

ED=DB -----> equation A

EB=ED+DB -----> equation B

The point D is the midpoint ED

see the attached figure to better understand the problem

step 1

Find the value of y

Substitute the given values in the equation A

`5y+6=y+30`

solve for y

`5y-y=30-6`

`4y=24`

`y=6`

step 2

Find the value of ED,DB and EB

`ED=5y+6`

substitute the value of y

`ED=5(6)+6=36`

Remember that

ED=DB

therefore

`DB=36`

Find the value of EB

EB=ED+DB

`EB=36+36=72`