How do you solve an equation like: 5/(x+2) + 3/(x-3) = 2?

  1. Multiply every term by a denominator to eliminate it;5 + 3(x+2)/(x-3) = 2(x+2)5 + 3x+6/(x-3) = 2x+45(x-3) + 3x+6= (2x+4)(x-3)2) simplify5x-15+3x+6=2x2-12+4x-6x8x-9=2x2-12-2x2x2-10x-3=03) use the equation to solve for x
    tips:remember to multiply both sides of the '=' sign by a denominatortake your time and make note of the minus sign when collecting 'like' terms
TH
Answered by Tom H. Maths tutor

5295 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Fully simplify the expression: 4 / (sqrt(8) + 4)


See answer section


Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13


The Tour de France is 2162miles long. A cyclist knows his average speed his 12.37 miles/hour from his previous races. For the Tour de France the cyclist knows he will cycle for 10 hours a day. Estimate how many days it will take him to complete the race.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences