How do I solve simultaneous equations?

Simeltanous equations are a pair of equations that have 2 unknows. In order to solve a simelatneous equation 1 of the unknows must be eliminated. This can be done by either: 

1. Substitution - This involves putting one of the equations in the form ' y =... ' or ' x=... ' and then substiting this into the other equation to eliminate one of the terms. 

2. Elimination by additon or subtraction - This involves manipualtion of the 2 equations so when they are added/subtracted one of the terms disappears. 1 or both of teh equations may need to be multipled in order for it to work, however you must remeber to always multiply each side of the equation by the same amount for it to work. 

Once you have an equation with 1 unknown it can be solved and then the solotuion can be substituted into one of the original equations to find the other value.  

Rory  B. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tutor,...

6 months ago

Answered by Rory , a GCSE Maths tutor with MyTutor

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


Gowan W. GCSE Chemistry tutor, A Level Chemistry tutor, GCSE Maths tu...
View profile
£18 /hr

Gowan W.

Degree: Chemistry (Masters) - Durham University

Subjects offered: Maths, Physics+ 1 more


“Hi I’m Gowan, a Chemistry (MChem) student at Durham University and have just finished my first year. I have always enjoyed the idea of science and how it can be used model and explain how the world works such as how and why ice being ...”

MyTutor guarantee

Anahita G. 13 plus  Maths tutor, A Level Maths tutor, GCSE Maths tuto...
View profile
£18 /hr

Anahita G.

Degree: Maths and Economics (Bachelors) - York University

Subjects offered: Maths, Science+ 3 more

.TSA. Oxford.

“I am a maths and economics student at the University of York. I have always loved logical and analytical subjects, for example Maths and the Sciences. I also particularly enjoy economics as there are countless ways to analyse and conc...”

PremiumBarnaby W. A Level Maths tutor, A Level Further Mathematics  tutor, G...
View profile
£22 /hr

Barnaby W.

Degree: Mathematics (Masters) - Southampton University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“ I have always enjoyed tutoring. I find that it gives me real satisfaction to see a child or student you have helped feel much more confident”

About the author

Rory  B. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tutor,...
View profile
£18 /hr

Rory B.

Degree: Geography BSc (Bachelors) - Durham University

Subjects offered: Maths, Chemistry+ 2 more

-Personal Statements-

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

MyTutor guarantee

You may also like...

Posts by Rory

Explain which species is oxidised in this reaction: Br2 +2I– 2Br– +I2.

Explain which species is oxidised in this reaction: Br2 +2I– = 2Br– +I2

How do I solve simultaneous equations?

Other GCSE Maths questions

Solve algebraically: 6a + b = 16 5a - 2b = 19

How can i solve the following simultaneous equations? 5x + y = 4 and 3x + 2y = 5?

How do I solve fractions with unknowns in the denominators?

Find x and y of these two equations: 2x - 3y = 13 and 3x + y = 3

View GCSE Maths tutors


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