Solve the equation ((2x+3)/(x-4)) - ((2x-8)/(2x+1)) = 1. Give your answer to 2 decimal places.

Multiply both sides of the equation by the denominators to get:(2x+3)(2x+1) - (2x-8)(x-4) = (x-4)(2x+1)Expand all the brackets to get:(4x^2 + 6x + 2x + 3) - (2x^2-8x-8x+32) = 2x^2-8x+x-4Simplify both sides to get:2x^2 + 24x - 29 = 2x^2 -7x -4Keep simplifying:31x = 33x = 33/31 = 1.06 (2.d.p)

NS
Answered by Natalie S. Maths tutor

3410 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the nth term in the series: 3, 7, 11, 15, 19


Simplify the following expression: ( (x^5) / (x^2) ) ^ 4


Solve the following system of equations simultaneously to find the values of x, y and z. 2x+3y+4z=3, -x-y+z=1, 2x+y-z=0


The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.


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:

© 2026 by IXL Learning