Make "a" the subject of the following equation: 2b = (3a+4)/(c-a)

In order to solve this question, we need to have all the terms containing 'a' on one side of the equals sign, and the other terms on the other side of the equals sign. First, we multiply both sides by (c-a), giving us:2b(c-a) = 3a+4,next we expand the left hand side:2bc-2ab = 3a+4,We now subtract 4 from both sides, and add 2ac:2bc-4 = 3a+2ab, next, we factorise the right hand side, and divide by whats in the brackets:(2bc-4)/(2b+3) = a,as required.

TD
Answered by Tutor161443 D. Maths tutor

3390 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

You have a bag of 60 coloured marbles. 1/10 are red, 3/5 are blue, and the rest are green. How many green ones are there?


How do I solve this pair of simultaneous equations: 3x+y=7 and 3x-y=5?


Expand the brackets: (x + 5)(x - 3)?


How do I expand and simplify linear 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:

© 2026 by IXL Learning