## MYTUTOR SUBJECT ANSWERS

877 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.

2 years ago

Answered by Kate, a GCSE Maths tutor with MyTutor

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

#### 531 SUBJECT SPECIALISTS

£18 /hr

Dan W.

Degree: Economics and Accounting (Bachelors) - Bristol University

Subjects offered:Maths, Economics

Maths
Economics

“I achieved top grades whilst juggling cricket at a high level. I’ve tutored for Young Einstein Tuition & been a Peer Mentor to those facing personal issues”

£20 /hr

Jay G.

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 ”

£36 /hr

Steven A.

Degree: Bioscience (Masters) - Durham University

Subjects offered:Maths, Science+ 5 more

Maths
Science
Human Biology
English
Chemistry
-Personal Statements-

“Hey! I'm Steven, 18 years old and I'm studying Biochemistry at Durham University. I love tutoring people, to put it simply. At my college i was a tutor to a student in the year below me for chemistry and growing up with a younger sist...”

#### 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

GCSE 2011: Solve the simultaneous equations: y^2 = 2x + 29 and y = x - 3

How to determine the number of unique real roots of a quadratic equation.

The first three terms of a sequence are a, b, c. The term-to-term rule of the sequence is 'Multiply by 2 and subtract 4'. Show that c = 4(a – 3).

Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

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