SOLUTION: what is the sum of:
x+1 and 3x
___ ___
x+3 x-4
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Question 83342: what is the sum of:
x+1 and 3x
___ ___
x+3 x-4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the sum of:
x+1 and 3x
___ ___
x+3 x-4
---------------
to add the fractions they must have a common denominator:
------------
lcm = (x+3)(x-4)
-----------
[(x+1)(x-4)] /lcm + (3x(x+3)/lcm
--------
Now add the numerators to get:
= [x^2-3x-4+3x^2+9x]/lcm
= [4x^2+6x-4]/[x^2+x-12]
= [2(2x+3x-2)]/[(x+3)(x-4)]
==============
Cheers,
Stan H.
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