Polynomial Simplificiation

[woodjom]

I have an equation of which i would like to have 1 of each of the variables. I am certain that based on some of the rules, it is in its simplest form but im no Math professional, so i bring it to your table.

Equation:
X / (X + Y)

If this equation were flipped it would be easy but as the denominator has the main polynomial, it has escaped my brain as to how, if any, to reduce this equation further.

 

[Deleted member 4993]

I have an equation of which i would like to have 1 of each of the variables. I am certain that based on some of the rules, it is in its simplest form but im no Math professional, so i bring it to your table.

Equation:
X / (X + Y)

If this equation were flipped it would be easy but as the denominator has the main polynomial, it has escaped my brain as to how, if any, to reduce this equation further.

The above is NOT an equation - equations have "equal to" sign ( = ).

As such - you are correct - the expression above cannot be simplified any further.

However IF you did have an equation - like:

R = X/(X+Y)

then

1/R = 1 + Y/X and if you wished you cou write:

Y = (1/R - 1) * X

and

X = Y/(1/R - 1)

 

[woodjom]

to be formal, yes....but the resulting value is the answer to the values plugged into the variables X and Y

As such (formally):
X/(X+Y) = Z

With Z being what is outputted from the equation.

I couldnt remember what the polynomial simplification rules were for this form, but its all good.