Solve the simultaneous equations 3x + 4y = 17 and 4x + y = 14

Eq1: 3x + 4y = 17

Eq2: 4x + y = 14

Eq2 x 4: 16x + 4y = 56

Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17

Simplify: 13x = 39

Solve for x: x = 3

Substitute x into Eq1: 3(3) + 4y = 17

                                 9 + 4y = 17

                                 4y = 8

                                 y = 2

Check in Eq2: 4(3) + (2) = 14

                      12 + 2  = 14

David H. GCSE Biology tutor, A Level Biology tutor, GCSE Maths tutor,...

8 months ago

Answered by David, a GCSE Maths tutor with MyTutor

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


Jasmine S. A Level Maths tutor, GCSE Physics tutor, GCSE Maths tutor,...
View profile
£18 /hr

Jasmine S.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered: Maths, Physics+ 1 more

Further Mathematics

“Hi, I'm Jasmine and I'm a second year Mathematician at Exeter University, I'm looking to help students prepare for their Maths and Physics exams.”

PremiumMatthew L. 11 Plus Maths tutor, GCSE Maths tutor, 13 plus  Maths tuto...
View profile
£18 /hr

Matthew L.

Degree: Philosophy, Politics and Economics (Bachelors) - Oxford, The Queen's College University

Subjects offered: Maths, History+ 4 more

Extended Project Qualification
.TSA. Oxford.
-Personal Statements-

“Hello! I am a recent graduate from The Queen’s College, University of Oxford, where I studied Philosophy, Politics and Economic”

Jonas P. IB Physics tutor, A Level Physics tutor, GCSE Physics tutor,...
View profile
£20 /hr

Jonas P.

Degree: MPhys Theoretical Physics (Bachelors) - Edinburgh University

Subjects offered: Maths, Physics


“I am currently a student at the University of Edinburgh, doing my 4th year of the MPhys Theoretical Physics programme. I've managed to score an average grade of 81% in year 3, and I tend to consistently do well in my exams, which I be...”

About the author

David H. GCSE Biology tutor, A Level Biology tutor, GCSE Maths tutor,...
View profile

David H.

Currently unavailable: for regular students

Degree: Medicine (Bachelors) - Exeter University

Subjects offered: Maths, Biology


“Me, myself and I I am a current medical student at Exeter University. I have loved science and maths from an early age, and have always looked for ways to increase my understanding of them – Horrible Science magazines were my favourit...”

You may also like...

Posts by David

Solve the simultaneous equations 3x + 4y = 17 and 4x + y = 14

What is meant by the semi-conservative replication of DNA?

What is the angle between the position vectors a and b, where a = (6i - j + 3k) and b = (-4i + 2j + 10k)?

Why is the heart known as a double pump?

Other GCSE Maths questions

Find the equation of the straight line which passes through the point (0, 3) and is perpendicular to the straight line with equation y = 2x.

How can I know whether to multiply or add probabilities?

Bag A contains £7.20 in 20p coins. Bag B contains only 5p coins. The number of coins in bag B is three-quarters of the number of coins in bag A. How much money is in bag B?

The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

View GCSE Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss