Question

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

Answer 1

a

Step-by-step explanation:

Answer 2

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.