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

3991 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.


You are told that y is proportional to x^2 and that y=75, x=5. Find a formula for y in terms of x.


In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella.


Simplify the surd sqrt(48)


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