Simplify 5/x – y – 4/y – x

A. 9/x – y
B. 9/y – x
C. 1/x – y
D. 1/y – x
E. y – 9x/x – y

Correct Answer: Option A

A. 9/x – y

Explanation
5/x – y – 4/y – x

= 5(y – x)-4(x – y)/(x – y)(y – x)

= 5y – 5x – 4x + 4y/(x – y)(y – x)

= 9y – 9x/(x – y)(y – x)

= 9(y – x)/(x – y)(y – x)

= 9/x – y