MYTUTOR SUBJECT ANSWERS

300 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...

10 months ago

Answered by Sophie, a GCSE Maths tutor with MyTutor


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

324 SUBJECT SPECIALISTS

£18 /hr

Natasha P.

Degree: Medicine (Bachelors) - Leeds University

Subjects offered: Maths, Science+ 6 more

Maths
Science
Physics
Human Biology
Chemistry
-Personal Statements-
-Medical School Preparation-

“I am an enthusiastic and friendly student in my fourth year of Medicine at the University of Leeds. Coming from a family background of teaching, I am passionate about educating children and young adults! I've got plenty of experience ...”

£18 /hr

Ewan H.

Degree: Aerospace Engineering (Masters) - Bristol University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“About me:I am currently a first year at Bristol University studying Aerospace Engineering. Given my degree, my interests have always been interested in thesciences and maths.I have always been involved in various tutoring groups, m...”

£18 /hr

Shaun F.

Degree: Mathematics with International Study (Masters) - Exeter University

Subjects offered: Maths

Maths

“Hi, I'm Shaun! I'm currently studying for a masters in Mathematics at the University of Exeter..”

MyTutor guarantee

About the author

Sophie S.

Currently unavailable: for new students

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

How do you factorise a quadratic equation?

When would I use the quadratic formula?

How do i factorise 20 + 10x?

Find the highest common factor (HCF) of 12 and 18.

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