575 views

### 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

1 year ago

Answered by Abigail, a GCSE Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 654 SUBJECT SPECIALISTS

£18 /hr

Degree: Civil and Structural Engineering with a Year in Industry (Masters) - Sheffield University

Subjects offered:Maths, Spanish+ 4 more

Maths
Spanish
Science
Physics
English
Economics

“About Me: Hello! I am a Civil Engineering student at the University of Sheffield. I have always had a natural incline towards all things Maths and Science, so without a doubt, my genuine passion for the subjects’ I am offering will be...”

£18 /hr

Degree: Medicine (Bachelors) - Kings, London University

Subjects offered:Maths, Physics+ 5 more

Maths
Physics
Chemistry
Biology
.UKCAT.
-Personal Statements-
-Medical School Preparation-

“Friendly, Goal-Oriented Medical Student tutoring in (and up to) GCSE-level Maths and Sciences”

£24 /hr

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£18 /hr

Degree: Biosciences (Masters) - Durham University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“About me I am studying biological sciences at Durham University. I have always really loved science, and I hope to enthuse others with this and help them to be willing to learn. There were some topics I found challenging but eventua...”

### You may also like...

#### Posts by Abigail

An equilibrium between hydrogen and nitrogen to make ammonia. Explain what would happen to the amount of product if a) pressure was increased b) temperature was increased c) a catalyst was added. Energy change -92KJ/mol

Explain what the stages of protein folding are and how the protein is held in its 3D shape

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

#### Other GCSE Maths questions

There are 20 balls in a bag. The probability is 0.25 of picking a red ball. If one more red ball is added, what is the new probability of picking a red ball at random?

How do I find the roots and and coordinates of the vertex of the graph y = 2x^2 + 4x - 8 ?

How do you use the quadratic formula?

Solve the simultaneous equations 2x - 3y = 24 (1) ; 6x + 2y = -5 (2)

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.