Somebody help me plzzzz plz Which of the following is the solution to 7/(x+2) + 11/(x-5) = 7/(x+2)(x-5)? 10/9 9/10 -10/9 -9/10

Question

asked Jul 22, 2021 152k views

2 Answers

Stewsters · Answer 1 · 2021-07-28T02:15:55+0000

Option A:
(10)/(9) is the solution of x

Step-by-step explanation:

The given expression is
(7)/((x+2))+(11)/((x-5))=(7)/((x+2)(x-5))

We need to determine the value of x.

The value of x can be determined by solving the expression for x.

Taking LCM , we get,

(7(x-5)+11(x+2))/((x+2)(x-5))=(7)/((x+2)(x-5))

Since, the denominator is common for both sides of the equation, let us cancel the denominator.

Thus, we have,

7(x-5)+11(x+2)=7

Multiplying the terms within the bracket, we get,

7x-35+11x+22=7

Adding the like terms, we get,

18x-13=7

Adding both sides of the equation by 13, we have,

18x=20

Dividing both sides of the equation by 18,

x=(20)/(18)

Simplifying, we get,

x=(10)/(9)

Thus, the solution is
(10)/(9)

Therefore, Option A is the correct answer.