Simplify (5/x+1) + (6/x-5)

To combine these two fractions into one, you have to multiply the equation by the denominators in order to make a common denominator: 5(x-5)/(x+1)(x-5) + 6(x+1)/(x+1)(x-5) Now that the denominators are the same, you can add the two numerators to eachother, and then expand the brackets: [5(x-5)+6(x+1)]/(x+1)(x-5) [5x-25+6x+6]/(x+1)(x-5) Now simplify the numerator: [11x-19]/(x+1)(x-5) (This is a GCSE question though I'd only want to tutor 11+ 13+ for now)

EL
Answered by Emma L. Maths tutor

2712 Views

See similar Maths 13 Plus tutors

Related Maths 13 Plus answers

All answers ▸

Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8


Factorize 9x+3xy-9zyx


The following sequence reads: 8, 5, 2, -1. What are the 4th and 50th terms of this sequence?


Expand and simplify (a+b)^2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences