Question

What number is the answer for number 4 and why?

Answer 1

The answer to the question (4) is option (1)

kindly refer to the attachment for working!

Answer 2

The easiest way to solve this problem is to multiply the second term by -1/-1, obtaining the following expression:

`(3y)/(2y-6)+(9)/(6-2y)\cdot(-1)/(-1)=(3y)/(2y-6)-(9)/(2y-6)`

Now, we can solve the substraction of homogeneous fractions:

`(3y)/(2y-6)-(9)/(2y-6)=(3y-9)/(2y-6)=(3(y-3))/(2(y-3))=(3)/(2)`

The answer is 3/2.