MYTUTOR SUBJECT ANSWERS

673 views

How to solve an equation when the variable is in the denominator?

I find the best way to explain maths is by using more numbers than words, so I'll use an example to explain this:

3 - 2x+2/x+4 = 4

A good thing to do before attempting to solve an equation is to get rid of any denominators you have, in this case x+4

To do this we can multiply the fraction (2x+2/x+4) by (x+4) and both (x+4) would cancel each other out, leaving us with 2x+2!

However, this is an equation, which means that anything you change to one side of the = sign you have to do the same on the other side, to keep everything equal and balanced.

Another important thing to remember is that we will be multiplying (x+4) not x and 4, so I find it easier to put some brackets around them so we don't forget what we're doing. Now enough words, let's use the numbers to demonstrate what I mean:

3 - 2x+2/x+4 = 4

(x+4) x 3  +  (x+4) x -(2x+2/x+4)  =  (x+4) x 4

3x + 12 - (2x + 2) = 4x + 16

3x + 12 - 2x - 2 = 4x + 16

x + 10 = 4x + 16

x - 4x = 16 - 10

-3x = 6

x = -2

Gabriela D. GCSE Maths tutor, GCSE Chemistry tutor, 13 plus  Portugue...

3 years ago

Answered by G, who tutored GCSE Maths with MyTutor


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

460 SUBJECT SPECIALISTS

£20 /hr

Naomi S.

Degree: Medicine (Bachelors) - Trinity College Dublin University

Subjects offered:Maths, Music+ 4 more

Maths
Music
Human Biology
Chemistry
-Medical School Preparation-

“*Available to teach exam revision sessions immediately.* I'm a medical student at Trinity College Dublin. ”

£30 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£18 /hr

Abhinav T.

Degree: Medicine (Other) - University College London University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Chemistry
Biology

“Confirming understanding by verbal confirmation and communication so as to ensure clarity and confidence during the learning process and progression.”

MyTutor guarantee

About the author

G D.

Currently unavailable: no new students

Degree: Medicine (Bachelors) - Southampton University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

Solve (4x10^-3)x(9x10^4)

Make x the subject of the equation y=(3x+5)/(4-x)

Expand and simplify (3x+2) (x-5)

How do I solve the Hannahs sweets question from the 2015 GCSE paper?

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

mtw:mercury1:status:ok