MYTUTOR SUBJECT ANSWERS

728 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

452 SUBJECT SPECIALISTS

£30 /hr

Szymon K.

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a student pursuing my degree in Mechanical Engineering at the University of Manchester. Ever since I can remember I have always been passionate about passing my knowledge to others. As a tutor I taught people of differen...”

£18 /hr

Iebad A.

Degree: Aerospace Engineering (Masters) - Sheffield University

Subjects offered:Maths, Italian

Maths
Italian

“About me: Hello, my name is Iebad and I am an aerospace engineering student at The University of Sheffield. As an engineer, maths is the key to unlock all the solutions to our problems in this field. Since the early years I had a broad...”

£18 /hr

Tabitha M.

Degree: Modern Languages (Bachelors) - Newcastle University

Subjects offered:Maths, Spanish

Maths
Spanish

“Hi!I am a first year student at the University of Newcastle studying Spanish and Japanese. I am patient, reliable and looking forward to hearing from you!”

MyTutor guarantee

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

How would I solve this set of simultaneous equations using the elimination method?

Expand (2x-3)(4x+4) using the FOIL method.

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

Three positive whole numbers have a mean of 6. What is the greatest possible range of the three numbers?

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

mtw:mercury1:status:ok