MYTUTOR SUBJECT ANSWERS

1047 views

Solve the simultaneous equations: x^2+y^2=36 ; x=2y+6

Substitute x in terms of y into the first equation:

(2y+6)2+y2=36

Use FOIL to expand the brackets

4y2+24y+36+y2=36  =>   5y2+24y=0

y(5y+24)=0  =>  y=0   or    y=(-24)/5

Substitute these values of y into the second equation to find x

when y=0, x=2*0+6  =>  x=6

when y=(-24)/5,  x=2*(-24)/5+6  =>  x=-3.6

Daniel B. GCSE Economics tutor, GCSE Maths tutor, A Level Maths tutor...

10 months ago

Answered by Daniel, who has applied to tutor GCSE Maths with MyTutor

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

328 SUBJECT SPECIALISTS

£18 /hr

Kyle C.

Degree: Computer Science With Electronics (Bachelors) - Edinburgh University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Computing

“Who am I?I am a student pursuing a Computer Science degree at the University of Edinburgh. I enjoy working on theatre lighting and am also a keen fencer which is where I initially started teaching by coaching younger fencers.Sessio...”

£18 /hr

Andy C.

Degree: Maths and Philosophy (Bachelors) - Bristol University

Subjects offered: Maths

Maths

“Second year Maths and Philosophy student at Bristol. Looking to tutor Maths GCSE”

MyTutor guarantee

£24 /hr

Robbie H.

Degree: Engineering Design (Masters) - Bristol University

Subjects offered: Maths, Physics

Maths
Physics

“I am a 22 year old Master's student at the University of Bristol studying Engineering Design. I achieved a First in my Bachelors and A*A*A at A Level. I have apassion for maths and science and hope that in my sessions some of this wil...”

MyTutor guarantee

About the author

£18 /hr

Daniel B.

Degree: Economics (Bachelors) - Bristol University

Subjects offered: Maths, Economics

Maths
Economics

“Hi, I'm Dan. I'm Currently studying Economics at the University of Bristol. My degree also has a compulsory Maths module. I am very friendly and have teaching experience. As a prefect at school I led weekly classes teaching the Learn ...”

MyTutor guarantee

You may also like...

Posts by Daniel

Find the derivative of f(x)=x^2log(2x)

Solve the simultaneous equations: x^2+y^2=36 ; x=2y+6

Other GCSE Maths questions

How do we solve simultaneous equations, say for example x + 4y = 20 and 2x - 2y = 10 ?

When would I use the quadratic formula?

What's the inverse of the function f=x+2?

Lisa, Max and Punita share £240 in the ratio 3 : 4 : 8 How much more money than Lisa does Punita get?

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