MYTUTOR SUBJECT ANSWERS

267 views

How do you go about rearranging equations where the required subject appears on both sides? Such as making x the subject of 7x + a = 3x + b.

To rearrange any equation, you must always do the same to both sides.
If you take a number from one side, you must also take it from the other. If you divide a side by one number you must divide the other by the same number (and this applies to the whole of both sides, not just part of the side).

7x + a = 3x + b, make x the subject:
Begin by collecting like terms on each side (so all the terms involving x on one side, and all the other terms on the other side).
1) Take 3x from both sides:
7x + a - 3x = 3x + b - 3x
4x + a = b
2) Take a from both sides:
4x + a - a = b - a
4x = b - a
3) Divide both sides by 4 (as x must be alone):
(4x)/4 = (b - a)/4
x = (b - a)/4 This is our answer

Rachael T. 11 Plus Maths tutor, GCSE Maths tutor, 13 plus  Maths tuto...

7 months ago

Answered by Rachael, a GCSE Maths tutor with MyTutor


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

333 SUBJECT SPECIALISTS

£18 /hr

David H.

Degree: Chemistry (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Hi, I'm David, an undergraduate student at the UK's second best chemistry department, at Durham University. I have a real enthusiasm for science, I love the feeling of working through a problem and watching all of the pieces slowly fi...”

MyTutor guarantee

£20 /hr

Aimee K.

Degree: Ancient & Modern History (Bachelors) - Oxford, Magdalen College University

Subjects offered: Maths, History+ 8 more

Maths
History
Extended Project Qualification
English and World Literature
English Literature
Classical Civilisation
.HAT.
-Personal Statements-
-Oxbridge Preparation-

“Hey there! I am an Ancient & Modern History student at Magdalen College, Oxford University and I absolutely love history and studies to do with culture and literature.  I am a big believer in providing students with the best groundin...”

£18 /hr

Dylan P.

Degree: Chemical Engineering (Masters) - Birmingham University

Subjects offered: Maths, Science+ 3 more

Maths
Science
Chemistry
Biology
-Personal Statements-

“I am a third-year student at the University of Birmingham studying my passion, Chemical Engineering. I hope to be able to inspire a similar passion in the sciences and mathematics to help you master the concepts. I am friendly and pat...”

About the author

£18 /hr

Rachael T.

Degree: Biosciences (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Biology
Art

“About me: Hello, I’m a Biosciences student at Durham University. I love science and maths , though I also have a passion for drawing! I have spent the last year volunteering as a tutor (for GCSE maths) and have thoroughly enjoyed it! I...”

You may also like...

Posts by Rachael

How do you go about rearranging equations where the required subject appears on both sides? Such as making x the subject of 7x + a = 3x + b.

How do you work out the old price of an item having been given the new price after a specified percentage change?

How would you go about comparing hormonal and nervous responses in mammals?

Other GCSE Maths questions

Solve the inequality 3x ≤ 4x+5

Solve the simultaneous equations y= 3x +4 and y= 2x + 5

Solve the simultaneous equations 2x+2y=14 and 3x-y=1

Solve the simultaneous equation: 6x+y = 27 3x-2y = 6

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok