MYTUTOR SUBJECT ANSWERS

479 views

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

To work out simultaneous equations, the aim is to remove one letter from the equations, i.e. Remove the y's so you have only x's and numbers (or vice versa).

One way to do this is to get the coefficient in front of either the y's or x's to equal each other.

In this example, you can get the coefficients of the x's to equal each other if you multiply the second equation by two:

3x-2y = 6    (x2)

=   6x-4y = 12

So now..

6x+y = 27

6x-4y = 12

Since the coefficients equal each other, you can take one equation away from the other to remove the x's:

6x+y = 27

6x-4y = 12

------------

5y = 15           (y--4y = 5y, and 27-12 = 15)

Now solve y. 

y = 15/5

y= 3

Now to find what x is, you put 3 in as y to either of the original equations:

6x+y = 27

6x+3 = 27

6x = 24

x = 4

There you go! 

x=4 and y=3

to check you have the correct values, you can put the numbers back into the other equations. If the equation works you have it right.

3x-2y = 6

12-6 = 6

It works! 

Emily B. GCSE Maths tutor, GCSE Biology tutor, GCSE Chemistry tutor, ...

1 year ago

Answered by Emily, a GCSE Maths tutor with MyTutor


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

331 SUBJECT SPECIALISTS

£18 /hr

Peter H.

Degree: Mathematics (Bachelors) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.STEP.

“About me: I am a Mathematics student at Durham University, and I am currently in my 3rd year. I would very much like to give assistance and help students of all abilities to reach the goals they aspire to in Maths and Physics, whether...”

MyTutor guarantee

£18 /hr

Laura H.

Degree: Italian and English Literature (Masters) - Edinburgh University

Subjects offered: Maths, English Literature+ 1 more

Maths
English Literature

“About MeI am an Italian and English Literature student at the University of Edinburgh. I have a passion for all kinds of literature, and I believe that the more you study a text, the more you appreciate it. I have also enjoyed Maths ...”

£18 /hr

William S.

Degree: Medicine (Other) - St. Andrews Unversity University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I am a medical student at the university of St Andrews. I have always loved maths and sciences, and hope to share that passion with you too! I am patient and very friendly, so hopefully you will enjoy our sessions. Of course, you will...”

About the author

Emily B.

Currently unavailable: for regular students

Degree: Medicine (Doctorate) - Durham University

Subjects offered: Maths, Chemistry+ 2 more

Maths
Chemistry
Biology
-Medical School Preparation-

“Hi! I'm Emily, a second year medical student at Durham University. I am happy to help your child with Maths GCSE and AS-Level, Biology, Chemistry and Geography GCSE and A-Level and medical school applications. I have achieved an A* in...”

MyTutor guarantee

You may also like...

Posts by Emily

Describe adaptations of plants that live in dry conditions, such as the desert.

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

What is the mass (g) of 0.25mols of NaCl?

Other GCSE Maths questions

Solve the simultaneous equations: 5x + 3y = 9 and 7x - 2y = 25.

Solve the simultaneous equations (1) 2a - 5b = 11 (2) 3a + 2b = 7

How do I expand and simplify linear equations?

How do I know when a quadratic function crosses the y-axis?

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