MYTUTOR SUBJECT ANSWERS

168 views

How do I solve simultaneous equations?

Let's use an example.

x+y=6

2x+3y=14

Find the values of x and y.

When I was kid back then, I was always wondering why are equations important? Well, for me, its because we want to be precise with our asnwers. 

x+y=6. There are many answers to this. Including:-

4+2

3+3

even 7+(-1)

therefore, what method should we use to ensure our calculation is accurate?

well, we have 2 equations. lets remove one variable out of the picture so we are left with only one

at the beginning, x+y=6 ......equation 1

                         2x+3y=14........equation 2

now, we decided to remove either x or y because removing either one of them will make it so much easier to find a specific value for x or y.

to do this, let's decide to remove x as an example.

multiplying equation 1 by 2 gives us,

2x+2y=12.....set this to equation 3

remember equation 2? 2x+3y=14

it can be seen now that we can remove 2x by performing equation 3-equation2 which gives us:-

y=2

we now have a value for y which is great so let's find value x by placing y=2 into equation 1, 2 or 3 since we already have a value.

let us take equation 1 in this case.

x+y=6

y=2, therefore, x+2=6

and x=6-2

        =4

and this, x=4 and y=2

to check our answers, we can place the values of x and y into any equations to find whether out answers match.

using equation 3,

2x+2y=12

2(4)+2(2)=8+4=12

and this is how we know our answers are correct! 

Wilson H. 11 Plus Maths tutor, 11 Plus Maths tutor

9 months ago

Answered by Wilson, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

Thomas D.

Degree: Neuroscience (Bachelors) - Kings, London University

Subjects offered: Maths, Physics+ 3 more

Maths
Physics
ICT
Chemistry
Biology

“I am currently in my second year of a Neuroscience Bachellors' degree at a Russel Group institution, that is King's College London. Having done five (yes 5) A2s, and achieved an A* and 5 As, I know a few tricks of the trade so to spea...”

£18 /hr

Tom B.

Degree: Electronic Engineering (Masters) - York University

Subjects offered: Maths, Computing

Maths
Computing

“Hi I'm an Electronic Engineering student at the University of York.  I love using my technical skills in order to work on creative new projects.  My specialty is software programming, which I have enjoyed at an academic and proffesion...”

£18 /hr

Jamie S.

Degree: Economics and Management (Bachelors) - Bristol University

Subjects offered: Maths, Economics

Maths
Economics

“I am a final year student at the University of Bristol, studying Economics and Management and am currently on track to achieve a 1st. I achieved an A* in Economics and an A in Maths A-levels as well as an A* at maths GCSE so would be ...”

MyTutor guarantee

About the author

Wilson H.

Currently unavailable: for regular students

Degree: Mechanical Engineering (Masters) - Bristol University

Subjects offered: Maths, Physics

Maths
Physics

“I am currently a first-year Mechanical Engineering student at the University of Bristol. One of the key challenges for someone studying Engineering is to explain key concepts of mathematics and physics to students easily and also toth...”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

Solve the simultaneous equations: 2x + 3y = 28 and x + y = 11

Calculate 8^0

How do I expand out a pair of brackets?

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