Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Ok so we need to get 'y' by itself on the left hand side of equal sign. We will first try to remove the denominator by multiplying 'x' by (3+4y). This gives (3+4y)x = 1 - 2y.

We will then expand the brackets so we can get a sum of the single terms i.e this gives 3x + 4yx = 1 - 2y.

We will now gather all terms with 'y'  on the left hand side of the equal sign. This gives 4yx + 2y = 1 - 3x.

Now we factorise to get a single 'y' term, this gives (4x +2)y= 1 - 3x.

We finally try to get 'y' on its own by divinding both sides of the equal sign by (4x +2). This therefore gives us y = (1-3x)/ (4x +2) which is our final answer!

Wajiha I. A Level Maths tutor, GCSE Maths tutor

2 years ago

Answered by Wajiha, a GCSE Maths tutor with MyTutor

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


£20 /hr

Sam F.

Degree: Economics with Placement (Bachelors) - Bath University

Subjects offered:Maths, Physics+ 2 more

Extended Project Qualification

“Studying for BSc Hons Economics, A level economics, maths and physics. Able to tutor GCSE/AS/A2 Economics, Maths and GCSE physics!”

£18 /hr

Toluwa R.

Degree: Economics and Statistics (Integrated Masters) - St. Andrews University

Subjects offered:Maths, Business Studies+ 1 more

Business Studies
-Personal Statements-

“I study Economics and Statistics because I enjoy learning about the role mathematics and statistics plays in our everyday.”

MyTutor guarantee

PremiumEllie B. GCSE Maths tutor, 11 Plus Maths tutor, A Level Maths tutor, ...
£24 /hr

Ellie B.

Degree: Mathematics (Masters) - York University

Subjects offered:Maths, Physics+ 1 more

Further Mathematics

“I study Maths at York University; I chose York because I loved the lecturers, they made maths fun and easy- that's what I hope to do with all my students!”

About the author

Wajiha I.

Currently unavailable: until 31/05/2016

Degree: Actuarial Sciences (Masters) - Manchester University

Subjects offered:Maths


“About Me:I am a mathematics graduate, currently studying towards an MSc in Actuarial Science at the University of Manchester. I have always enjoyed solving mathematical problems and hope that my tutorials will help you grasp the m...”

MyTutor guarantee

You may also like...

Posts by Wajiha

Differentiate y = (3x − 2)^4

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Other GCSE Maths questions

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

How do you calculate the hypotenuse of a right angle triangle if the two shorter sides are 6 and 8?

Solve 9x-4=7(x+2)

Sketch the curve y=4-(x+3)^2, showing the points where the curve crosses the x-axis and any minimum or maximum points.

View GCSE Maths tutors

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