-30/5x-25 added to 4x-5/x-5?

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rational expression

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Answer 1 · 2017-11-18T00:31:10

#(4x-11)/(x-5)#

Make both denominators equal, then you can add the top lines.

#-30/(5x-25)+(4x-5)/(x-5)#

Divide the LHS equation by 5, top and bottom:
#=-6/(x-5)#

So now you have #-6/(x-5)+(4x-5)/(x-5)#

Combining them gives #(-6+4x-5)/(x-5)#
#=(4x-11)/(x-5)#

Answer 2 · 2017-11-18T00:35:22

#=> (4x-11)/(x-5)#

#-30/(5x-25)+( 4x-5)/(x-5)?#

#=>-30/(5(x-5)) + (4x-5)/((x-5))#

#=>-cancel30^6/(cancel5^1(x-5)) + (4x-5)/((x-5))#

#=>-6/(x-5) +(4x-5)/(x-5)#

#=> (-6+4x-5)/(x-5)#

#=> (4x-11)/(x-5)#