MYTUTOR SUBJECT ANSWERS

438 views

Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations
(1): 2x + 3y = 4
(2): 3x + 6y = 3

We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2
giving (3): 6x + 9y = 12
(4): 6x + 12y = 6

Subtract (3) from (4)
6x + 12y - 6x - 9y = 6 - 12
so 3y= -6
so y= -2

Substitute the y value into (1) to find x
2x + (3*-2) = 4
        2x - 6 = 4
             2x = 10
               x = 5

Check by substituting into (2)
(3*5) + (6*-2) = 15 - 12 = 3 the solutions work

So x = 5 and y = -2

Sophie S. GCSE Biology tutor, GCSE Chemistry tutor, GCSE Physics tuto...

1 year ago

Answered by Sophie, a GCSE Maths tutor with MyTutor


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

449 SUBJECT SPECIALISTS

£18 /hr

Daniel O.

Degree: Natural Sciences (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“An enthusiastic Natural Sciences undergraduate at the University of Nottingham with industry experience working for the Defence Science Technology Laboratories.”

MyTutor guarantee

£20 /hr

James T.

Degree: General Engineering (Other) - Durham University

Subjects offered:Maths, Physics

Maths
Physics

“I am a friendly and enthusiastic engineering student at Durham University, with a great passion for maths and physics.”

£18 /hr

Bryony S.

Degree: Economics (Bachelors) - Exeter University

Subjects offered:Maths, French

Maths
French

“Exams shouldn't be the cause of stress. Tutors should be there to reassure tutees and give them positive feedback.”

About the author

Sophie S.

Currently unavailable: for new students

Degree: Biochemistry (MBiochem) (Masters) - St. Andrews University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Chemistry
Biology

“About me: Hello, I’m Sophie and I’m in first year at the University of St Andrews, studying for a biochemistry integrated masters. I haveprevious experience at tutoring as I tutored a family friend inall three sciences for her GCSEs. ...”

You may also like...

Posts by Sophie

Describe the reflex arc.

Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

What is a metabolic rate?

Other GCSE Maths questions

A table has diameter 130cm. What is the area, as a multiple of Pi

expand the brackets (x+5)(x+3) furthermore what are the two values of x

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

​What's the difference between the mean, median and mode? Why are there so many different types of average?!

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