Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

1) 2x + 3y = 6

2) 3x + 2y = 5

We can either use substitution or elimination.

Using elimination:

Multiply equation 1) by 3 and multiply equation 2) by 2.

1) 6x + 9y = 18

2) 6x + 4y  = 10

Equation 1) - Equation 2)

5y = 8

y = 8/5

Substitue y back into either 1) or 2).

6x + (32/5) = 10

6x = 10 - (32/5)

x = 3/5

Aaquib N. A Level Maths tutor, GCSE Maths tutor

12 months ago

Answered by Aaquib, a GCSE Maths tutor with MyTutor

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


£20 /hr

Sara J.

Degree: Computing Science (Bachelors) - Glasgow University

Subjects offered:Maths, Geography+ 2 more

-Personal Statements-

“Undergraduate student at University of Glasgow with passion for Computing Science, Mathematics and Geography.”

£18 /hr

Jonny I.

Degree: MSci Mathematics (G103) (Masters) - Bristol University

Subjects offered:Maths


“I’ve enjoyed maths for many years now and I’d like to share my enthusiasm for the subject to help students!”

Sam C. GCSE Maths tutor, 13 Plus  Maths tutor, 11 Plus Maths tutor, A...
£18 /hr

Sam C.

Degree: Physics (Masters) - Oxford, Trinity College University

Subjects offered:Maths, Physics+ 2 more

-Oxbridge Preparation-

“Maths and Physics hold the tools to unravelling the mysteries of the universe! I hope you enjoy unlocking these tools as much as I do!”

About the author

Aaquib N.

Currently unavailable: for regular students

Degree: Computer Science (Bachelors) - Birmingham University

Subjects offered:Maths


“Hi, my name is Aaquib and I'm studying Computer Science at the University of Birmingham. Throughout my life, I have been extremley passionate about Maths, to the extent that I did Maths and Further Maths at both GCSE and A-Level! My l...”

MyTutor guarantee

You may also like...

Posts by Aaquib

Line AB has the equation 3x + 5y = 7. Find the gradient of Line AB.

Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

Other GCSE Maths questions

How do signs change in an inequality?

What is the difference between distance and displacement?

Can you solve the following 2 simultaneous equations; y=6x-2 and x^2-4x+19=y?

Write (√(18)+10)/√(2) in the form: p + q√2 [4 marks]

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