what is the value of 4x-3y?

Question

if (4x+3y)/(16x^2-9y^2)=10

Answer 1

4x + 3y

-----------------     = 10

16x^2 - 9y^2    

 

 

 

 

Factor the bottom (difference of two squares):

 

 

      4x+3y

-----------------     =    10

(4x+3y)(4x-3y)

 

 

Cancel out the 4x+3y on top and bottom:

 

          1

------------------          =   10

       4x-3y

 

 

Flip both sides (reciprocal):

4x-3y = 1/10