Homework Help

Simplify.   2y/4y-5 - 6y/8y-10

user profile pic

kristenmarieb... | Student, Grade 10 | Valedictorian

Posted April 4, 2013 at 1:59 AM via web

dislike 1 like

Simplify.  

2y/4y-5 - 6y/8y-10

Tagged with algebra 2, math

1 Answer | Add Yours

user profile pic

violy | High School Teacher | (Level 3) Assistant Educator

Posted April 4, 2013 at 2:13 AM (Answer #1)

dislike 2 like

I suppose its: 

`(2y)/(4y-5) - (6y)/(8y - 10)`

We can factor the 8y - 10 as 2(4y - 5). 

We will have:

`(2y)/(4y - 5) - (6y)/(2(4y-5))`

Hence, the lcd = 2(4y - 5). 

Multiply the top and bottom of the first expression by 2. 

We will have:

`(4y)/(2(4y-5)) - (6y)/(2(4y - 5))`

Combine like terms we will have: 

`(-2y)/(2(4y-5))`

Cancelling out the 2's on top and bottom: 

The final answer will be: -y/(4y - 5)

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes