MYTUTOR SUBJECT ANSWERS

427 views

Can you solve the following 2 simultaneous equations; y=6x-2 and x^2-4x+19=y?

y=6x-2

x2-4x+19

Both equations are equal to Y, hence can be substituted into each other;

6x-2= x^2-4x+19

Now we only have X terms in our equations

Bring all the like X terms together, and make equation equal to 0

  1. 6x-2= x^2-4x+19
  2. 6x= x^2-4x+19+2
  3. 6x= x^2-4x+21
  4. 0= x^2-4x+21-6x
  5. 0= x^2-10x+21

Now we have a simultaneous equations which we can factorise

0=(x-7)(x-3)

We can now solve this as either x-7 must equal 0 or x-3 must equal 0

0=x-7………………………………x=7

Or

0=x-3………………………………x=3

Hence answer is x=7 or 3

Mohammed C. GCSE Maths tutor, 13 plus  Maths tutor, GCSE Biology tuto...

2 years ago

Answered by Mohammed, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

Kate E.

Degree: Psychology (Bachelors) - Birmingham University

Subjects offered: Maths, Psychology

Maths
Psychology

“Who am I?  My name is Kate and I am currently in my first year studying BSc Psychology at the University of Birmingham. From 2009 to 2016 I attended Altrincham Grammar School for Girls and completed both my GCSEs and A Levels there; I ...”

MyTutor guarantee

£22 /hr

Rebecca D.

Degree: Medicine (MBChB) (Other) - Sheffield University

Subjects offered: Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
.UKCAT.
-Personal Statements-
-Medical School Preparation-

“As a fourth year medical student at the University of Sheffield, I have a thorough grounding in basic sciences and I consider myself alogical and thorough learner (and teacher!). It also took me two UCAS application cycles to get into...”

MyTutor guarantee

£18 /hr

Sarah M.

Degree: Chemistry (Doctorate) - Bristol University

Subjects offered: Maths, Science+ 2 more

Maths
Science
French
Chemistry

“Who am I?I am a French PhD student in chemistry at the university of Bristol. As far as I remember I have always been fascinated by sciences and I ldo ove sharing this passion by helping students.Tutoring is to my eyes extremely re...”

About the author

Mohammed C.

Currently unavailable: no new students

Degree: Medicine (Masters) - Cardiff University

Subjects offered: Maths, Biology+ 1 more

Maths
Biology
-Medical School Preparation-

“Friendly medical student, willing to help you learn better”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

How can I prepare for my Maths GCSE exams?

Use the Intermidiate Value Theorem to prove that there is a positive number c such that c^2 = 2.

Find Solution to x^2 + x - 2=0

How do you calculate the hypotenuse of a right angle triangle if the two shorter sides are 6 and 8?

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