Make x the subject of the equation y=(2(1+x))/(3x-1)

This might be hard at first, but if you work through step by step you'll get there!

Start by getting rid of the fraction, multiply both sides by (3x-1) to get y(3x-1) = 2(1+x)

Multiply out the brackets: 3yx-y = 2+2x. The 3yx might seem hard to sort out but leave it for the moment and it can be factorised and sorted at the end!

Put the x terms on one side (including 3yx) and the non x terms on the other: 3yx-2x = 2+y

Factorise the left side to get a single x term multiplied by everything else: x(3y-2) = 2+y

Then you simply divide both sides by (3y-2) to get

x = (2+y)/(3y-2) and thats your final answer.

AC
Answered by Abigail C. Maths tutor

5256 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise x^2 + 7x + 10


Write 8^2(4^2 / 2^7) in the form 2^x


[equ1] 3y − 6x = 3 [equ2] y y x 2 − x + 2 2 = 2


50 people ate a snack , some had apples some had biscuits the rest had banana. 21 people were male the rest female. 6 out of 8 people who had apples were female. 18 people had biscuits. 9 females had bananas. How many males had biscuits?


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