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

4137 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to solve Simultaneous Linear Equations, e.g. (4x + 5y = 17) and (3x + 2y = 4)


f(x) = 2x+3/x-4 Work out f ^–1 (x)


In year 11, 3/7 of pupils go on holiday abroad in the summer break. Out of these, 1/3 go to France. Determine the ratio of pupils who go to France in summer to pupils who do not go to France in summer.


Solve 3x^2 + 6x – 2 = 0 Give your solutions correct to 2 decimal places.


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