Rearrange the following equation to make 'm' the subject: 4 (m - 2) = t (5m + 3) [4 marks]

Expand brackets on both sides:  4m − 8 = 5mt + 3t

Collect all terms containing 'm' to one side of the equation: 4m − 5mt = 8 + 3t

Factorise the terms containing 'm': m (4 − 5t) = 8 + 3t

Divide by factorised values: m = (8 + 3t) / (4 − 5t)

NM
Answered by Nadia M. Maths tutor

4470 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Please expand the brackets in the following equation to get a quadratic equation. Then, please show using the quadratic formula that the solutions to the equation are x=3 and x=5. Here is the starting equation: (x-3)(x-5)=0


What's the inverse of the function f=x+2?


Why is Pythagoras theorem (a^2 + b^2 = c^2) true for every right angle triangle?


A ladder of length 5 m is place with the foot 2.2 m from the base of a vertical wall. How high up the wall does the ladder reach?


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