MYTUTOR SUBJECT ANSWERS

522 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

1 year ago

Answered by Wilson, a GCSE Maths tutor with MyTutor


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

539 SUBJECT SPECIALISTS

£22 /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

Sophia H.

Degree: Biomedical Sciences (Bachelors) - Cardiff University

Subjects offered:Maths, Russian+ 1 more

Maths
Russian
English

“Hopeful doctor in the making looking to help you reach your goals! I'm interested in everything so I am sure we will have something in common. ”

£18 /hr

Kishwar I.

Degree: Chemistry and Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Chemistry
-Personal Statements-

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

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

Rearrange, 5(a + b)= 2ab , to make 'a' the subject

Represent x = 0.0154 recurring as a fraction.

Make y the subject of the formula: 3y-p=h(2+y).

How do I expand (3x + 6)(x + 2) ?

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