## MYTUTOR SUBJECT ANSWERS

622 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

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

#### 622 SUBJECT SPECIALISTS

£24 /hr

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I am currently completing 2 PGCEs in Leeds. I have always had a passion for maths and my objective is to help as many as possible reach their full potential.”

£18 /hr

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. ”

£24 /hr

Degree: Biological Sciences (Biochemistry) (Bachelors) - Edinburgh University

Subjects offered:Maths, Mandarin+ 2 more

Maths
Mandarin
Chemistry
Biology

“I am here not only to help you get better at exams, but to help you enjoy your subject more”

#### About the author

£22 /hr

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

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Chemistry
Biology

“I study biochemistry at the University of St Andrews. Passionate about science and uses student led sessions ensure understanding and progress at their own pace”

### 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

Prove the quadratic formula for ax^2 + bx + c = 0, where a is non 0 and a,b and c are reals.

Solve 7(k – 3) = 3k – 5

What are the differences between arithmetic and geometric sequences?

Q = P / (R (4-t)), P=36, R= 3, t=-2

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.