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

3386 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.


Liv and Laura win a lottery of £350,000 and decide to split their winnings according to the ratio 3:4. Work out how much each person receives.


Factorise the expression: 8x + 32


Factorise x^2 +2x+1 to the form (x+a)(x+b)


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