MYTUTOR SUBJECT ANSWERS

562 views

Solve algebraically 6a + b = 16 and 5a - 2b = 19

This is a simultanious equation. As there are two unknown variables, it is impossible to find both a and b just using one of the equations. To make it possible to work out the unknowns, we need to have just one unknown. If we multiplied the first equation by 2, we will have 12a + 2b = 32. This then means if we added both equations together the (+2b) and the (-2b) will cancel each other out and we will be left with (12a + 5a) = (32+19). 17a = 51, so a = 3. We then put a back into one of the original equations to work out b. So 6 x (3) + b = 16. So b = -2. 

Kate H. GCSE Economics tutor, GCSE Maths tutor

1 year ago

Answered by Kate, a GCSE Maths tutor with MyTutor


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

454 SUBJECT SPECIALISTS

£18 /hr

Gabrielle M.

Degree: Mechanical Engineering (Masters) - Birmingham University

Subjects offered: Maths

Maths

“I am a student studying Mechanical Engineering in my first year at University of Birmingham. I enjoy the challenges my course throws at me and I enjoy both the practical and theoretical elements of the course. In the course this year ...”

£20 /hr

Chris S.

Degree: Psychology (Bachelors) - Nottingham University

Subjects offered: Maths, Psychology+ 1 more

Maths
Psychology
-Personal Statements-

“*Over 25 completed MyTutor school tutorials* I am a reliable and enthusiastic maths and psychology tutor.”

£18 /hr

Upasana T.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered: Maths, Latin+ 1 more

Maths
Latin
Biology

“About me: Hi, my name is Upasana Topiwala and I am currently in my third year of medical school at the university of Birmingham. I've taken up tutoring in order to inspire my students to appreciate the importance of science in our liv...”

About the author

Kate H.

Currently unavailable: for regular students

Degree: Politics and Economics (Bachelors) - Newcastle University

Subjects offered: Maths, Economics

Maths
Economics

“About Me:I am an economics student at Newcastle University. My degree includes a large amount of maths, as well as economics, therefore I am still up to date with much of the maths I learnt at A-Level and GCSE. I have a real passion ...”

MyTutor guarantee

You may also like...

Posts by Kate

Solve algebraically 6a + b = 16 and 5a - 2b = 19

These are the selling prices of 5 houses in 2007: £145 000, £170 000, £215 000, £90 000, £180 000. Work out the mean selling price.

Other GCSE Maths questions

Solve 5x – 2 > 3x + 11

Work out the ratio between the surface area of sphere of radius 6cm and the total surface area of a hemisphere of radius 9cm.

Surd Calculations?

how do you solve these simultaneous equations?

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