147k views
1 vote
Find the sum: 5x/(7x-y) + 4/(y-7x).

User MiuMiu
by
7.8k points

1 Answer

5 votes

Final answer:

To find the sum of the given expression, combine the fractions over a common denominator and simplify the numerator and denominator.

Step-by-step explanation:

To find the sum of the given expression, we need to combine the two fractions over a common denominator. The common denominator in this case is (7x - y)(y - 7x). We can rewrite the expression as follows:

5x/(7x - y) + 4/(y - 7x) = (5x*(y - 7x) + 4*(7x - y))/((7x - y)(y - 7x))

Expanding and simplifying the numerator gives:

(5xy - 35x^2 + 28x - 4y)/(y^2 - 49x^2)

This is the simplified form of the sum.

User Zian Choy
by
9.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories