How do you simplify $\frac{x-5y}{x+y}+\frac{x+7y}{x+y}$ ?

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Answer 1 · 2016-10-08T16:18:45

$(x - 5y)/(x + y) + (x + 7y)/(x + y) = 2$

Because the denominators are the same, one can just add the numerators over the common denominator:

$(x - 5y + x + 7y)/(x + y) = (2x + 2y)/(x + y)$

Factor out $(x + y)$ from the numerator:

$(2(x + y))/((x + y)) = 2$

The simplest form is:

$(x - 5y)/(x + y) + (x + 7y)/(x + y) = 2$

How do you simplify \frac{x-5y}{x+y}+\frac{x+7y}{x+y}\frac{x-5y}{x+y}+\frac{x+7y}{x+y}?