Solve the equation to 2 two decimal places: (2x+3/x-4 ) - (2x-8/2x+1) = 1

 (2x+3/x-4 ) - (2x-8/2x+1) = 1 (2x+3/x-4) = 1 + (2x-8/2x+1) [Add (2x-8/2x+1) to each side]2x+3= x-4 + (2x-8)(x-4)/2x+1 Times both sides by (x-4)(2x-1)=(x-4)(2x+1) + (2x-8)(x-4) [Times both sides by (2x+1) - therefore we have removed the denominators from both sides]
Expand all to give;4x2 + 8x + 3= 2x2 - 7x -4 + 2x2 - 16x - 32 [Collect like terms, and simplify]-25 = -31x0.81 = x [Divide to give x, and round to two decimal places as asked]

JK
Answered by Jude K. Maths tutor

3631 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

1 a. If x=6a+3 and a is 4 what is x? b. Make a the subject of the formula.


A bag contains 10 apples. Three of the apples are green and seven of the apples are red. If an apple is pulled from the bag at random, what is the probability that the apple will be green?


How do I solve the equation 5y+18=3y+4?


How do I solve simultaneous equations?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning